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LCM of 130, 660, 924, 425, 961

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


Find the LCM of 130, 660, 924, 425, 961 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 130, 660, 924, 425, 961. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,660,924,425,961

Given numbers are 130,660,924,425,961

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

The LCM of 130,660,924,425,961 is 4906001100.

Find LCM of 130,660,924,425,961 with Prime Factorization


2 130, 660, 924, 425, 961
2 65, 330, 462, 425, 961
3 65, 165, 231, 425, 961
5 65, 55, 77, 425, 961
11 13, 11, 77, 85, 961
13, 1, 7, 85, 961

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

2 x 2 x 3 x 5 x 11 x 13 x 1 x 7 x 85 x 961 = 4906001100

Therefore, the lowest common multiple of 130,660,924,425,961 is 4906001100.

LCM Formula to Find Lowest Common Multiple of 130,660,924,425,961

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.

130 x 660 x 924 x 425 x 961 = 32379607260000

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.

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

425 : 1, 5, 17, 25, 85, 425

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,660,924,425,961, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

660:2x 2x 3x 5x 11

924:2x 2x 3x 7x 11

425:5x 5x 17

961:31x 31

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 5x 5x 11 = 6600

Therefore, the value for common factors is 6600.

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 = 32379607260000/(1x6600)

LCM = 32379607260000/6600

LCM = 4906001100

Thus, we can understand that the LCM of 130,660,924,425,961 is 4906001100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 660, 924, 425, 961

1. What is the LCM of 130, 660, 924, 425, 961?

Answer: LCM of 130, 660, 924, 425, 961 is 4906001100.

2. How to calculate the LCM of 130, 660, 924, 425, 961?

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 130, 660, 924, 425, 961.

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}.