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LCM of 970, 624, 104, 559, 832

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


Find the LCM of 970, 624, 104, 559, 832 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 970, 624, 104, 559, 832. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 970,624,104,559,832

Given numbers are 970,624,104,559,832

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

The LCM of 970,624,104,559,832 is 52054080.

Find LCM of 970,624,104,559,832 with Prime Factorization


2 970, 624, 104, 559, 832
2 485, 312, 52, 559, 416
2 485, 156, 26, 559, 208
2 485, 78, 13, 559, 104
13 485, 39, 13, 559, 52
485, 3, 1, 43, 4

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

2 x 2 x 2 x 2 x 13 x 485 x 3 x 1 x 43 x 4 = 52054080

Therefore, the lowest common multiple of 970,624,104,559,832 is 52054080.

LCM Formula to Find Lowest Common Multiple of 970,624,104,559,832

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.

970 x 624 x 104 x 559 x 832 = 29276880322560

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

104 : 1, 2, 4, 8, 13, 26, 52, 104

559 : 1, 13, 43, 559

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,624,104,559,832, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

624:2x 2x 2x 2x 3x 13

104:2x 2x 2x 13

559:13x 43

832:2x 2x 2x 2x 2x 2x 13

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 2x 2x 2x 2x 13x 13x 13 = 562432

Therefore, the value for common factors is 562432.

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 = 29276880322560/(1x562432)

LCM = 29276880322560/562432

LCM = 52054080

Thus, we can understand that the LCM of 970,624,104,559,832 is 52054080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 970, 624, 104, 559, 832

1. What is the LCM of 970, 624, 104, 559, 832?

Answer: LCM of 970, 624, 104, 559, 832 is 52054080.

2. How to calculate the LCM of 970, 624, 104, 559, 832?

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 970, 624, 104, 559, 832.

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}.