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LCM of 924, 988, 278, 845, 624

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


Find the LCM of 924, 988, 278, 845, 624 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, 988, 278, 845, 624. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,988,278,845,624

Given numbers are 924,988,278,845,624

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

The LCM of 924,988,278,845,624 is 8248159920.

Find LCM of 924,988,278,845,624 with Prime Factorization


2 924, 988, 278, 845, 624
2 462, 494, 139, 845, 312
3 231, 247, 139, 845, 156
13 77, 247, 139, 845, 52
77, 19, 139, 65, 4

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

2 x 2 x 3 x 13 x 77 x 19 x 139 x 65 x 4 = 8248159920

Therefore, the lowest common multiple of 924,988,278,845,624 is 8248159920.

LCM Formula to Find Lowest Common Multiple of 924,988,278,845,624

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 988 x 278 x 845 x 624 = 133818146542080

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

278 : 1, 2, 139, 278

845 : 1, 5, 13, 65, 169, 845

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,988,278,845,624, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

988:2x 2x 13x 19

278:2x 139

845:5x 13x 13

624:2x 2x 2x 2x 3x 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 3x 13x 13 = 16224

Therefore, the value for common factors is 16224.

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 = 133818146542080/(1x16224)

LCM = 133818146542080/16224

LCM = 8248159920

Thus, we can understand that the LCM of 924,988,278,845,624 is 8248159920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 988, 278, 845, 624

1. What is the LCM of 924, 988, 278, 845, 624?

Answer: LCM of 924, 988, 278, 845, 624 is 8248159920.

2. How to calculate the LCM of 924, 988, 278, 845, 624?

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, 988, 278, 845, 624.

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}.