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LCM of 924, 946, 507, 945, 895

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


Find the LCM of 924, 946, 507, 945, 895 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 924, 946, 507, 945, 895. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,946,507,945,895

Given numbers are 924,946,507,945,895

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

The LCM of 924,946,507,945,895 is 54086972940.

Find LCM of 924,946,507,945,895 with Prime Factorization


2 924, 946, 507, 945, 895
3 462, 473, 507, 945, 895
5 154, 473, 169, 315, 895
7 154, 473, 169, 63, 179
11 22, 473, 169, 9, 179
2, 43, 169, 9, 179

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

2 x 3 x 5 x 7 x 11 x 2 x 43 x 169 x 9 x 179 = 54086972940

Therefore, the lowest common multiple of 924,946,507,945,895 is 54086972940.

LCM Formula to Find Lowest Common Multiple of 924,946,507,945,895

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.

924 x 946 x 507 x 945 x 895 = 374822722474200

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.

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

507 : 1, 3, 13, 39, 169, 507

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

895 : 1, 5, 179, 895

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,946,507,945,895, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

946:2x 11x 43

507:3x 13x 13

945:3x 3x 3x 5x 7

895:5x 179

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

2x 3x 3x 5x 7x 11 = 6930

Therefore, the value for common factors is 6930.

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 = 374822722474200/(1x6930)

LCM = 374822722474200/6930

LCM = 54086972940

Thus, we can understand that the LCM of 924,946,507,945,895 is 54086972940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 946, 507, 945, 895

1. What is the LCM of 924, 946, 507, 945, 895?

Answer: LCM of 924, 946, 507, 945, 895 is 54086972940.

2. How to calculate the LCM of 924, 946, 507, 945, 895?

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 924, 946, 507, 945, 895.

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}.