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LCM of 552, 986, 943, 748, 724

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


Find the LCM of 552, 986, 943, 748, 724 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 552, 986, 943, 748, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,986,943,748,724

Given numbers are 552,986,943,748,724

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

The LCM of 552,986,943,748,724 is 22214733816.

Find LCM of 552,986,943,748,724 with Prime Factorization


2 552, 986, 943, 748, 724
2 276, 493, 943, 374, 362
17 138, 493, 943, 187, 181
23 138, 29, 943, 11, 181
6, 29, 41, 11, 181

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

2 x 2 x 17 x 23 x 6 x 29 x 41 x 11 x 181 = 22214733816

Therefore, the lowest common multiple of 552,986,943,748,724 is 22214733816.

LCM Formula to Find Lowest Common Multiple of 552,986,943,748,724

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.

552 x 986 x 943 x 748 x 724 = 277950749505792

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.

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

943 : 1, 23, 41, 943

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

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,986,943,748,724, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

986:2x 17x 29

943:23x 41

748:2x 2x 11x 17

724:2x 2x 181

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 17x 23 = 12512

Therefore, the value for common factors is 12512.

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 = 277950749505792/(1x12512)

LCM = 277950749505792/12512

LCM = 22214733816

Thus, we can understand that the LCM of 552,986,943,748,724 is 22214733816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 986, 943, 748, 724

1. What is the LCM of 552, 986, 943, 748, 724?

Answer: LCM of 552, 986, 943, 748, 724 is 22214733816.

2. How to calculate the LCM of 552, 986, 943, 748, 724?

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 552, 986, 943, 748, 724.

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}.