LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 527, 494, 392, 748

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


Find the LCM of 527, 494, 392, 748 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 527, 494, 392, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 527,494,392,748

Given numbers are 527,494,392,748

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

The LCM of 527,494,392,748 is 561288728.

Find LCM of 527,494,392,748 with Prime Factorization


2 527, 494, 392, 748
2 527, 247, 196, 374
17 527, 247, 98, 187
31, 247, 98, 11

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

2 x 2 x 17 x 31 x 247 x 98 x 11 = 561288728

Therefore, the lowest common multiple of 527,494,392,748 is 561288728.

LCM Formula to Find Lowest Common Multiple of 527,494,392,748

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.

527 x 494 x 392 x 748 = 76335267008

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.

527 : 1, 17, 31, 527

494 : 1, 2, 13, 19, 26, 38, 247, 494

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,494,392,748, is 1.

Now, the common factors can be found like this.

527:17x 31

494:2x 13x 19

392:2x 2x 2x 7x 7

748:2x 2x 11x 17

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 17 = 136

Therefore, the value for common factors is 136.

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 = 76335267008/(1x136)

LCM = 76335267008/136

LCM = 561288728

Thus, we can understand that the LCM of 527,494,392,748 is 561288728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 527, 494, 392, 748

1. What is the LCM of 527, 494, 392, 748?

Answer: LCM of 527, 494, 392, 748 is 561288728.

2. How to calculate the LCM of 527, 494, 392, 748?

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 527, 494, 392, 748.

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}.