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LCM of 907, 493, 867, 358, 701

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


Find the LCM of 907, 493, 867, 358, 701 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 907, 493, 867, 358, 701. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,493,867,358,701

Given numbers are 907,493,867,358,701

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

The LCM of 907,493,867,358,701 is 5723022153558.

Find LCM of 907,493,867,358,701 with Prime Factorization


17 907, 493, 867, 358, 701
907, 29, 51, 358, 701

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

17 x 907 x 29 x 51 x 358 x 701 = 5723022153558

Therefore, the lowest common multiple of 907,493,867,358,701 is 5723022153558.

LCM Formula to Find Lowest Common Multiple of 907,493,867,358,701

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.

907 x 493 x 867 x 358 x 701 = 97291376610486

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.

907 : 1, 907

493 : 1, 17, 29, 493

867 : 1, 3, 17, 51, 289, 867

358 : 1, 2, 179, 358

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,493,867,358,701, is 1.

Now, the common factors can be found like this.

907:907

493:17x 29

867:3x 17x 17

358:2x 179

701:701

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

17 = 17

Therefore, the value for common factors is 17.

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 = 97291376610486/(1x17)

LCM = 97291376610486/17

LCM = 5723022153558

Thus, we can understand that the LCM of 907,493,867,358,701 is 5723022153558.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 907, 493, 867, 358, 701

1. What is the LCM of 907, 493, 867, 358, 701?

Answer: LCM of 907, 493, 867, 358, 701 is 5723022153558.

2. How to calculate the LCM of 907, 493, 867, 358, 701?

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 907, 493, 867, 358, 701.

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}.