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LCM of 767, 374, 572, 492

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


Find the LCM of 767, 374, 572, 492 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, 374, 572, 492. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,374,572,492

Given numbers are 767,374,572,492

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

The LCM of 767,374,572,492 is 70567068.

Find LCM of 767,374,572,492 with Prime Factorization


2 767, 374, 572, 492
2 767, 187, 286, 246
11 767, 187, 143, 123
13 767, 17, 13, 123
59, 17, 1, 123

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

2 x 2 x 11 x 13 x 59 x 17 x 1 x 123 = 70567068

Therefore, the lowest common multiple of 767,374,572,492 is 70567068.

LCM Formula to Find Lowest Common Multiple of 767,374,572,492

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 374 x 572 x 492 = 80728725792

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,374,572,492, is 1.

Now, the common factors can be found like this.

767:13x 59

374:2x 11x 17

572:2x 2x 11x 13

492:2x 2x 3x 41

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 2x 11x 13 = 1144

Therefore, the value for common factors is 1144.

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 = 80728725792/(1x1144)

LCM = 80728725792/1144

LCM = 70567068

Thus, we can understand that the LCM of 767,374,572,492 is 70567068.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 374, 572, 492

1. What is the LCM of 767, 374, 572, 492?

Answer: LCM of 767, 374, 572, 492 is 70567068.

2. How to calculate the LCM of 767, 374, 572, 492?

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, 374, 572, 492.

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}.