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LCM of 700, 513, 374, 418

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 700, 513, 374, 418 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 700, 513, 374, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 700,513,374,418

Given numbers are 700,513,374,418

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 700,513,374,418 is 67151700.

Find LCM of 700,513,374,418 with Prime Factorization


2 700, 513, 374, 418
11 350, 513, 187, 209
19 350, 513, 17, 19
350, 27, 17, 1

Multiply the prime numbers at the bottom and the left side.

2 x 11 x 19 x 350 x 27 x 17 x 1 = 67151700

Therefore, the lowest common multiple of 700,513,374,418 is 67151700.

LCM Formula to Find Lowest Common Multiple of 700,513,374,418

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

700 x 513 x 374 x 418 = 56138821200

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

513 : 1, 3, 9, 19, 27, 57, 171, 513

374 : 1, 2, 11, 17, 22, 34, 187, 374

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,513,374,418, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

513:3x 3x 3x 19

374:2x 11x 17

418:2x 11x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 11x 19 = 836

Therefore, the value for common factors is 836.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 56138821200/(1x836)

LCM = 56138821200/836

LCM = 67151700

Thus, we can understand that the LCM of 700,513,374,418 is 67151700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 700, 513, 374, 418

1. What is the LCM of 700, 513, 374, 418?

Answer: LCM of 700, 513, 374, 418 is 67151700.

2. How to calculate the LCM of 700, 513, 374, 418?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 700, 513, 374, 418.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.