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LCM of 351, 606, 668, 696, 920

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


Find the LCM of 351, 606, 668, 696, 920 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 351, 606, 668, 696, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 351,606,668,696,920

Given numbers are 351,606,668,696,920

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

The LCM of 351,606,668,696,920 is 157954057560.

Find LCM of 351,606,668,696,920 with Prime Factorization


2 351, 606, 668, 696, 920
2 351, 303, 334, 348, 460
2 351, 303, 167, 174, 230
3 351, 303, 167, 87, 115
117, 101, 167, 29, 115

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

2 x 2 x 2 x 3 x 117 x 101 x 167 x 29 x 115 = 157954057560

Therefore, the lowest common multiple of 351,606,668,696,920 is 157954057560.

LCM Formula to Find Lowest Common Multiple of 351,606,668,696,920

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.

351 x 606 x 668 x 696 x 920 = 90981537154560

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

606 : 1, 2, 3, 6, 101, 202, 303, 606

668 : 1, 2, 4, 167, 334, 668

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,606,668,696,920, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

606:2x 3x 101

668:2x 2x 167

696:2x 2x 2x 3x 29

920:2x 2x 2x 5x 23

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 2x 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 90981537154560/(1x576)

LCM = 90981537154560/576

LCM = 157954057560

Thus, we can understand that the LCM of 351,606,668,696,920 is 157954057560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 351, 606, 668, 696, 920

1. What is the LCM of 351, 606, 668, 696, 920?

Answer: LCM of 351, 606, 668, 696, 920 is 157954057560.

2. How to calculate the LCM of 351, 606, 668, 696, 920?

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 351, 606, 668, 696, 920.

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}.