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LCM of 652, 910, 130, 364, 987

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


Find the LCM of 652, 910, 130, 364, 987 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 652, 910, 130, 364, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 652,910,130,364,987

Given numbers are 652,910,130,364,987

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

The LCM of 652,910,130,364,987 is 41829060.

Find LCM of 652,910,130,364,987 with Prime Factorization


2 652, 910, 130, 364, 987
2 326, 455, 65, 182, 987
5 163, 455, 65, 91, 987
7 163, 91, 13, 91, 987
13 163, 13, 13, 13, 141
163, 1, 1, 1, 141

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

2 x 2 x 5 x 7 x 13 x 163 x 1 x 1 x 1 x 141 = 41829060

Therefore, the lowest common multiple of 652,910,130,364,987 is 41829060.

LCM Formula to Find Lowest Common Multiple of 652,910,130,364,987

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.

652 x 910 x 130 x 364 x 987 = 27710915668800

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.

652 : 1, 2, 4, 163, 326, 652

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

130 : 1, 2, 5, 10, 13, 26, 65, 130

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,910,130,364,987, is 1.

Now, the common factors can be found like this.

652:2x 2x 163

910:2x 5x 7x 13

130:2x 5x 13

364:2x 2x 7x 13

987:3x 7x 47

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 5x 7x 7x 13x 13 = 662480

Therefore, the value for common factors is 662480.

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 = 27710915668800/(1x662480)

LCM = 27710915668800/662480

LCM = 41829060

Thus, we can understand that the LCM of 652,910,130,364,987 is 41829060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 652, 910, 130, 364, 987

1. What is the LCM of 652, 910, 130, 364, 987?

Answer: LCM of 652, 910, 130, 364, 987 is 41829060.

2. How to calculate the LCM of 652, 910, 130, 364, 987?

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 652, 910, 130, 364, 987.

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}.