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LCM of 506, 972, 952, 267, 729

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


Find the LCM of 506, 972, 952, 267, 729 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 506, 972, 952, 267, 729. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,972,952,267,729

Given numbers are 506,972,952,267,729

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

The LCM of 506,972,952,267,729 is 15626978136.

Find LCM of 506,972,952,267,729 with Prime Factorization


2 506, 972, 952, 267, 729
2 253, 486, 476, 267, 729
3 253, 243, 238, 267, 729
3 253, 81, 238, 89, 243
3 253, 27, 238, 89, 81
3 253, 9, 238, 89, 27
3 253, 3, 238, 89, 9
253, 1, 238, 89, 3

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

2 x 2 x 3 x 3 x 3 x 3 x 3 x 253 x 1 x 238 x 89 x 3 = 15626978136

Therefore, the lowest common multiple of 506,972,952,267,729 is 15626978136.

LCM Formula to Find Lowest Common Multiple of 506,972,952,267,729

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.

506 x 972 x 952 x 267 x 729 = 91136536489152

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

267 : 1, 3, 89, 267

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,972,952,267,729, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

972:2x 2x 3x 3x 3x 3x 3

952:2x 2x 2x 7x 17

267:3x 89

729:3x 3x 3x 3x 3x 3

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 3x 3x 3x 3x 3x 3 = 5832

Therefore, the value for common factors is 5832.

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 = 91136536489152/(1x5832)

LCM = 91136536489152/5832

LCM = 15626978136

Thus, we can understand that the LCM of 506,972,952,267,729 is 15626978136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 972, 952, 267, 729

1. What is the LCM of 506, 972, 952, 267, 729?

Answer: LCM of 506, 972, 952, 267, 729 is 15626978136.

2. How to calculate the LCM of 506, 972, 952, 267, 729?

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 506, 972, 952, 267, 729.

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}.