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LCM of 391, 254, 724, 957, 551

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


Find the LCM of 391, 254, 724, 957, 551 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 391, 254, 724, 957, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,254,724,957,551

Given numbers are 391,254,724,957,551

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

The LCM of 391,254,724,957,551 is 653709179244.

Find LCM of 391,254,724,957,551 with Prime Factorization


2 391, 254, 724, 957, 551
29 391, 127, 362, 957, 551
391, 127, 362, 33, 19

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

2 x 29 x 391 x 127 x 362 x 33 x 19 = 653709179244

Therefore, the lowest common multiple of 391,254,724,957,551 is 653709179244.

LCM Formula to Find Lowest Common Multiple of 391,254,724,957,551

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.

391 x 254 x 724 x 957 x 551 = 37915132396152

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.

391 : 1, 17, 23, 391

254 : 1, 2, 127, 254

724 : 1, 2, 4, 181, 362, 724

957 : 1, 3, 11, 29, 33, 87, 319, 957

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,254,724,957,551, is 1.

Now, the common factors can be found like this.

391:17x 23

254:2x 127

724:2x 2x 181

957:3x 11x 29

551:19x 29

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 37915132396152/(1x58)

LCM = 37915132396152/58

LCM = 653709179244

Thus, we can understand that the LCM of 391,254,724,957,551 is 653709179244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 254, 724, 957, 551

1. What is the LCM of 391, 254, 724, 957, 551?

Answer: LCM of 391, 254, 724, 957, 551 is 653709179244.

2. How to calculate the LCM of 391, 254, 724, 957, 551?

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 391, 254, 724, 957, 551.

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}.