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LCM of 532, 785, 552, 418, 484

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


Find the LCM of 532, 785, 552, 418, 484 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 532, 785, 552, 418, 484. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 532,785,552,418,484

Given numbers are 532,785,552,418,484

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

The LCM of 532,785,552,418,484 is 6973418760.

Find LCM of 532,785,552,418,484 with Prime Factorization


2 532, 785, 552, 418, 484
2 266, 785, 276, 209, 242
11 133, 785, 138, 209, 121
19 133, 785, 138, 19, 11
7, 785, 138, 1, 11

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

2 x 2 x 11 x 19 x 7 x 785 x 138 x 1 x 11 = 6973418760

Therefore, the lowest common multiple of 532,785,552,418,484 is 6973418760.

LCM Formula to Find Lowest Common Multiple of 532,785,552,418,484

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.

532 x 785 x 552 x 418 x 484 = 46638224666880

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.

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

785 : 1, 5, 157, 785

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

418 : 1, 2, 11, 19, 22, 38, 209, 418

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,785,552,418,484, is 1.

Now, the common factors can be found like this.

532:2x 2x 7x 19

785:5x 157

552:2x 2x 2x 3x 23

418:2x 11x 19

484:2x 2x 11x 11

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 2x 2x 11x 19 = 6688

Therefore, the value for common factors is 6688.

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 = 46638224666880/(1x6688)

LCM = 46638224666880/6688

LCM = 6973418760

Thus, we can understand that the LCM of 532,785,552,418,484 is 6973418760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 532, 785, 552, 418, 484

1. What is the LCM of 532, 785, 552, 418, 484?

Answer: LCM of 532, 785, 552, 418, 484 is 6973418760.

2. How to calculate the LCM of 532, 785, 552, 418, 484?

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 532, 785, 552, 418, 484.

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}.