Namaste, iam Carl Mcneil, Asalam walekum.
Whoa, LCM 140? That’s a tough one! But don’t worry, I’m here to help. Let’s break it down and figure out what the least common multiple of 140 is. First off, let’s review what LCM stands for: least common multiple. Basically, it means finding the smallest number that two or more numbers can be divided into evenly. So let’s get started and see if we can crack this nut!
How Do You Find The Lcm Of 140? [Solved]
Well, to get the LCM of 140 and 168, we gotta break ’em down into prime factors. So, 140 is 2 × 2 × 5 × 7 and 168 is 2 × 2 × 2 × 3 × 7. Then, we just multiply all those together - so that’s 23 x 3 x 5 x 7 - and voila! 840 is our LCM. Easy peasy!
Least Common Multiple (LCM): The LCM of two or more numbers is the smallest number that is a multiple of all the given numbers. For example, the LCM of 2 and 3 is 6, and the LCM of 4 and 5 is 20.
Calculating LCM: To calculate the LCM of two or more numbers, you can use either prime factorization or a list method. Prime factorization involves breaking down each number into its prime factors and then multiplying them together to get the LCM. The list method involves listing out all multiples of each number until you find one that appears in both lists.
Finding the LCM for 140: To find the least common multiple for 140, we can use either prime factorization or a list method. Using prime factorization, we break down 140 into its prime factors: 2 x 2 x 5 x 7 = 140; then multiply these together to get our answer: 2 x 2 x 5 x 7 = 280; therefore, 280 is our least common multiple for 140. Alternatively, using a list method we would start by listing out all multiples of each number until we find one that appears in both lists: Multiples of 2 are: 2, 4, 6… Multiples of 5 are: 5 10 15… Multiples of 7 are: 7 14 21… We see that 14 appears in both lists so our answer is 14; therefore 14 is our least common
LCM stands for least common multiple, and it’s the smallest number that both 140 and any other number can be divided into evenly. So, if you wanted to find the LCM of 140 and another number, say 12, you’d have to figure out what the two numbers have in common. Well, they both divide evenly into 840 - so that’s your LCM! Pretty cool, huh?
