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LCM of 718, 346, 791, 226, 981

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


Find the LCM of 718, 346, 791, 226, 981 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 718, 346, 791, 226, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 718,346,791,226,981

Given numbers are 718,346,791,226,981

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

The LCM of 718,346,791,226,981 is 96386461794.

Find LCM of 718,346,791,226,981 with Prime Factorization


2 718, 346, 791, 226, 981
113 359, 173, 791, 113, 981
359, 173, 7, 1, 981

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

2 x 113 x 359 x 173 x 7 x 1 x 981 = 96386461794

Therefore, the lowest common multiple of 718,346,791,226,981 is 96386461794.

LCM Formula to Find Lowest Common Multiple of 718,346,791,226,981

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.

718 x 346 x 791 x 226 x 981 = 43566680730888

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.

718 : 1, 2, 359, 718

346 : 1, 2, 173, 346

791 : 1, 7, 113, 791

226 : 1, 2, 113, 226

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,346,791,226,981, is 1.

Now, the common factors can be found like this.

718:2x 359

346:2x 173

791:7x 113

226:2x 113

981:3x 3x 109

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 113 = 452

Therefore, the value for common factors is 452.

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 = 43566680730888/(1x452)

LCM = 43566680730888/452

LCM = 96386461794

Thus, we can understand that the LCM of 718,346,791,226,981 is 96386461794.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 718, 346, 791, 226, 981

1. What is the LCM of 718, 346, 791, 226, 981?

Answer: LCM of 718, 346, 791, 226, 981 is 96386461794.

2. How to calculate the LCM of 718, 346, 791, 226, 981?

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 718, 346, 791, 226, 981.

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}.