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LCM of 504, 744, 836, 202, 951

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


Find the LCM of 504, 744, 836, 202, 951 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 504, 744, 836, 202, 951. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 504,744,836,202,951

Given numbers are 504,744,836,202,951

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

The LCM of 504,744,836,202,951 is 104548824072.

Find LCM of 504,744,836,202,951 with Prime Factorization


2 504, 744, 836, 202, 951
2 252, 372, 418, 101, 951
2 126, 186, 209, 101, 951
3 63, 93, 209, 101, 951
21, 31, 209, 101, 317

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

2 x 2 x 2 x 3 x 21 x 31 x 209 x 101 x 317 = 104548824072

Therefore, the lowest common multiple of 504,744,836,202,951 is 104548824072.

LCM Formula to Find Lowest Common Multiple of 504,744,836,202,951

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.

504 x 744 x 836 x 202 x 951 = 60220122665472

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

202 : 1, 2, 101, 202

951 : 1, 3, 317, 951

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,744,836,202,951, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

744:2x 2x 2x 3x 31

836:2x 2x 11x 19

202:2x 101

951:3x 317

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 60220122665472/(1x576)

LCM = 60220122665472/576

LCM = 104548824072

Thus, we can understand that the LCM of 504,744,836,202,951 is 104548824072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 504, 744, 836, 202, 951

1. What is the LCM of 504, 744, 836, 202, 951?

Answer: LCM of 504, 744, 836, 202, 951 is 104548824072.

2. How to calculate the LCM of 504, 744, 836, 202, 951?

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 504, 744, 836, 202, 951.

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}.