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LCM of 757, 782, 988, 341

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


Find the LCM of 757, 782, 988, 341 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 757, 782, 988, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,782,988,341

Given numbers are 757,782,988,341

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

The LCM of 757,782,988,341 is 99720388196.

Find LCM of 757,782,988,341 with Prime Factorization


2 757, 782, 988, 341
757, 391, 494, 341

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

2 x 757 x 391 x 494 x 341 = 99720388196

Therefore, the lowest common multiple of 757,782,988,341 is 99720388196.

LCM Formula to Find Lowest Common Multiple of 757,782,988,341

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.

757 x 782 x 988 x 341 = 199440776392

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.

757 : 1, 757

782 : 1, 2, 17, 23, 34, 46, 391, 782

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,782,988,341, is 1.

Now, the common factors can be found like this.

757:757

782:2x 17x 23

988:2x 2x 13x 19

341:11x 31

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 = 199440776392/(1x2)

LCM = 199440776392/2

LCM = 99720388196

Thus, we can understand that the LCM of 757,782,988,341 is 99720388196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 782, 988, 341

1. What is the LCM of 757, 782, 988, 341?

Answer: LCM of 757, 782, 988, 341 is 99720388196.

2. How to calculate the LCM of 757, 782, 988, 341?

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 757, 782, 988, 341.

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}.