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LCM of 701, 812, 358

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


Find the LCM of 701, 812, 358 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 701, 812, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,812,358

Given numbers are 701,812,358

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

The LCM of 701,812,358 is 101888948.

Find LCM of 701,812,358 with Prime Factorization


2 701, 812, 358
701, 406, 179

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

2 x 701 x 406 x 179 = 101888948

Therefore, the lowest common multiple of 701,812,358 is 101888948.

LCM Formula to Find Lowest Common Multiple of 701,812,358

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.

701 x 812 x 358 = 203777896

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.

701 : 1, 701

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,812,358, is 1.

Now, the common factors can be found like this.

701:701

812:2x 2x 7x 29

358:2x 179

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

2 = 2

Therefore, the value for common factors is 2.

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 = 203777896/(1x2)

LCM = 203777896/2

LCM = 101888948

Thus, we can understand that the LCM of 701,812,358 is 101888948.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 701, 812, 358

1. What is the LCM of 701, 812, 358?

Answer: LCM of 701, 812, 358 is 101888948.

2. How to calculate the LCM of 701, 812, 358?

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 701, 812, 358.

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}.