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LCM of 747, 344, 579, 262

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


Find the LCM of 747, 344, 579, 262 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 747, 344, 579, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,344,579,262

Given numbers are 747,344,579,262

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

The LCM of 747,344,579,262 is 6496921944.

Find LCM of 747,344,579,262 with Prime Factorization


2 747, 344, 579, 262
3 747, 172, 579, 131
249, 172, 193, 131

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

2 x 3 x 249 x 172 x 193 x 131 = 6496921944

Therefore, the lowest common multiple of 747,344,579,262 is 6496921944.

LCM Formula to Find Lowest Common Multiple of 747,344,579,262

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.

747 x 344 x 579 x 262 = 38981531664

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.

747 : 1, 3, 9, 83, 249, 747

344 : 1, 2, 4, 8, 43, 86, 172, 344

579 : 1, 3, 193, 579

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,344,579,262, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

344:2x 2x 2x 43

579:3x 193

262:2x 131

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 38981531664/(1x6)

LCM = 38981531664/6

LCM = 6496921944

Thus, we can understand that the LCM of 747,344,579,262 is 6496921944.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 344, 579, 262

1. What is the LCM of 747, 344, 579, 262?

Answer: LCM of 747, 344, 579, 262 is 6496921944.

2. How to calculate the LCM of 747, 344, 579, 262?

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 747, 344, 579, 262.

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}.