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LCM of 929, 713, 863, 494, 952

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


Find the LCM of 929, 713, 863, 494, 952 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 929, 713, 863, 494, 952. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 929,713,863,494,952

Given numbers are 929,713,863,494,952

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

The LCM of 929,713,863,494,952 is 134415682399544.

Find LCM of 929,713,863,494,952 with Prime Factorization


2 929, 713, 863, 494, 952
929, 713, 863, 247, 476

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

2 x 929 x 713 x 863 x 247 x 476 = 134415682399544

Therefore, the lowest common multiple of 929,713,863,494,952 is 134415682399544.

LCM Formula to Find Lowest Common Multiple of 929,713,863,494,952

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.

929 x 713 x 863 x 494 x 952 = 268831364799088

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.

929 : 1, 929

713 : 1, 23, 31, 713

863 : 1, 863

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,713,863,494,952, is 1.

Now, the common factors can be found like this.

929:929

713:23x 31

863:863

494:2x 13x 19

952:2x 2x 2x 7x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 268831364799088/(1x2)

LCM = 268831364799088/2

LCM = 134415682399544

Thus, we can understand that the LCM of 929,713,863,494,952 is 134415682399544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 929, 713, 863, 494, 952

1. What is the LCM of 929, 713, 863, 494, 952?

Answer: LCM of 929, 713, 863, 494, 952 is 134415682399544.

2. How to calculate the LCM of 929, 713, 863, 494, 952?

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 929, 713, 863, 494, 952.

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}.