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LCM of 646, 707, 658, 351

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


Find the LCM of 646, 707, 658, 351 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 646, 707, 658, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,707,658,351

Given numbers are 646,707,658,351

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

The LCM of 646,707,658,351 is 7534542834.

Find LCM of 646,707,658,351 with Prime Factorization


2 646, 707, 658, 351
7 323, 707, 329, 351
323, 101, 47, 351

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

2 x 7 x 323 x 101 x 47 x 351 = 7534542834

Therefore, the lowest common multiple of 646,707,658,351 is 7534542834.

LCM Formula to Find Lowest Common Multiple of 646,707,658,351

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.

646 x 707 x 658 x 351 = 105483599676

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

707 : 1, 7, 101, 707

658 : 1, 2, 7, 14, 47, 94, 329, 658

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,707,658,351, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

707:7x 101

658:2x 7x 47

351:3x 3x 3x 13

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 105483599676/(1x14)

LCM = 105483599676/14

LCM = 7534542834

Thus, we can understand that the LCM of 646,707,658,351 is 7534542834.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 646, 707, 658, 351

1. What is the LCM of 646, 707, 658, 351?

Answer: LCM of 646, 707, 658, 351 is 7534542834.

2. How to calculate the LCM of 646, 707, 658, 351?

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 646, 707, 658, 351.

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}.