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LCM of 912, 952, 571, 986, 532

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


Find the LCM of 912, 952, 571, 986, 532 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 912, 952, 571, 986, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 912,952,571,986,532

Given numbers are 912,952,571,986,532

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

The LCM of 912,952,571,986,532 is 1797115152.

Find LCM of 912,952,571,986,532 with Prime Factorization


2 912, 952, 571, 986, 532
2 456, 476, 571, 493, 266
2 228, 238, 571, 493, 133
7 114, 119, 571, 493, 133
17 114, 17, 571, 493, 19
19 114, 1, 571, 29, 19
6, 1, 571, 29, 1

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

2 x 2 x 2 x 7 x 17 x 19 x 6 x 1 x 571 x 29 x 1 = 1797115152

Therefore, the lowest common multiple of 912,952,571,986,532 is 1797115152.

LCM Formula to Find Lowest Common Multiple of 912,952,571,986,532

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.

912 x 952 x 571 x 986 x 532 = 260049750955008

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

571 : 1, 571

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,952,571,986,532, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

952:2x 2x 2x 7x 17

571:571

986:2x 17x 29

532:2x 2x 7x 19

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 2x 7x 17x 19 = 144704

Therefore, the value for common factors is 144704.

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 = 260049750955008/(1x144704)

LCM = 260049750955008/144704

LCM = 1797115152

Thus, we can understand that the LCM of 912,952,571,986,532 is 1797115152.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 912, 952, 571, 986, 532

1. What is the LCM of 912, 952, 571, 986, 532?

Answer: LCM of 912, 952, 571, 986, 532 is 1797115152.

2. How to calculate the LCM of 912, 952, 571, 986, 532?

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 912, 952, 571, 986, 532.

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}.