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LCM of 767, 298, 907, 411, 538

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


Find the LCM of 767, 298, 907, 411, 538 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 767, 298, 907, 411, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,298,907,411,538

Given numbers are 767,298,907,411,538

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

The LCM of 767,298,907,411,538 is 22919915753358.

Find LCM of 767,298,907,411,538 with Prime Factorization


2 767, 298, 907, 411, 538
767, 149, 907, 411, 269

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

2 x 767 x 149 x 907 x 411 x 269 = 22919915753358

Therefore, the lowest common multiple of 767,298,907,411,538 is 22919915753358.

LCM Formula to Find Lowest Common Multiple of 767,298,907,411,538

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.

767 x 298 x 907 x 411 x 538 = 45839831506716

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.

767 : 1, 13, 59, 767

298 : 1, 2, 149, 298

907 : 1, 907

411 : 1, 3, 137, 411

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,298,907,411,538, is 1.

Now, the common factors can be found like this.

767:13x 59

298:2x 149

907:907

411:3x 137

538:2x 269

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 = 45839831506716/(1x2)

LCM = 45839831506716/2

LCM = 22919915753358

Thus, we can understand that the LCM of 767,298,907,411,538 is 22919915753358.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 298, 907, 411, 538

1. What is the LCM of 767, 298, 907, 411, 538?

Answer: LCM of 767, 298, 907, 411, 538 is 22919915753358.

2. How to calculate the LCM of 767, 298, 907, 411, 538?

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 767, 298, 907, 411, 538.

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}.