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LCM of 624, 956, 754, 975, 813

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


Find the LCM of 624, 956, 754, 975, 813 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 624, 956, 754, 975, 813. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,956,754,975,813

Given numbers are 624,956,754,975,813

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

The LCM of 624,956,754,975,813 is 29301495600.

Find LCM of 624,956,754,975,813 with Prime Factorization


2 624, 956, 754, 975, 813
2 312, 478, 377, 975, 813
3 156, 239, 377, 975, 813
13 52, 239, 377, 325, 271
4, 239, 29, 25, 271

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

2 x 2 x 3 x 13 x 4 x 239 x 29 x 25 x 271 = 29301495600

Therefore, the lowest common multiple of 624,956,754,975,813 is 29301495600.

LCM Formula to Find Lowest Common Multiple of 624,956,754,975,813

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.

624 x 956 x 754 x 975 x 813 = 356540598460800

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.

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

956 : 1, 2, 4, 239, 478, 956

754 : 1, 2, 13, 26, 29, 58, 377, 754

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,956,754,975,813, is 1.

Now, the common factors can be found like this.

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

956:2x 2x 239

754:2x 13x 29

975:3x 5x 5x 13

813:3x 271

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 3x 13x 13 = 12168

Therefore, the value for common factors is 12168.

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 = 356540598460800/(1x12168)

LCM = 356540598460800/12168

LCM = 29301495600

Thus, we can understand that the LCM of 624,956,754,975,813 is 29301495600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 956, 754, 975, 813

1. What is the LCM of 624, 956, 754, 975, 813?

Answer: LCM of 624, 956, 754, 975, 813 is 29301495600.

2. How to calculate the LCM of 624, 956, 754, 975, 813?

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 624, 956, 754, 975, 813.

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}.