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LCM of 949, 949, 858, 517, 527

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


Find the LCM of 949, 949, 858, 517, 527 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 949, 949, 858, 517, 527. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,949,858,517,527

Given numbers are 949,949,858,517,527

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

The LCM of 949,949,858,517,527 is 1551381546.

Find LCM of 949,949,858,517,527 with Prime Factorization


11 949, 949, 858, 517, 527
13 949, 949, 78, 47, 527
73 73, 73, 6, 47, 527
1, 1, 6, 47, 527

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

11 x 13 x 73 x 1 x 1 x 6 x 47 x 527 = 1551381546

Therefore, the lowest common multiple of 949,949,858,517,527 is 1551381546.

LCM Formula to Find Lowest Common Multiple of 949,949,858,517,527

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.

949 x 949 x 858 x 517 x 527 = 210533335463022

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.

949 : 1, 13, 73, 949

949 : 1, 13, 73, 949

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

517 : 1, 11, 47, 517

527 : 1, 17, 31, 527

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,949,858,517,527, is 1.

Now, the common factors can be found like this.

949:13x 73

949:13x 73

858:2x 3x 11x 13

517:11x 47

527:17x 31

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

11x 13x 13x 73 = 135707

Therefore, the value for common factors is 135707.

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 = 210533335463022/(1x135707)

LCM = 210533335463022/135707

LCM = 1551381546

Thus, we can understand that the LCM of 949,949,858,517,527 is 1551381546.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 949, 858, 517, 527

1. What is the LCM of 949, 949, 858, 517, 527?

Answer: LCM of 949, 949, 858, 517, 527 is 1551381546.

2. How to calculate the LCM of 949, 949, 858, 517, 527?

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 949, 949, 858, 517, 527.

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}.