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LCM of 651, 587, 351, 124, 775

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


Find the LCM of 651, 587, 351, 124, 775 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 651, 587, 351, 124, 775. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 651,587,351,124,775

Given numbers are 651,587,351,124,775

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

The LCM of 651,587,351,124,775 is 4471002900.

Find LCM of 651,587,351,124,775 with Prime Factorization


3 651, 587, 351, 124, 775
31 217, 587, 117, 124, 775
7, 587, 117, 4, 25

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

3 x 31 x 7 x 587 x 117 x 4 x 25 = 4471002900

Therefore, the lowest common multiple of 651,587,351,124,775 is 4471002900.

LCM Formula to Find Lowest Common Multiple of 651,587,351,124,775

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.

651 x 587 x 351 x 124 x 775 = 12889901360700

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.

651 : 1, 3, 7, 21, 31, 93, 217, 651

587 : 1, 587

351 : 1, 3, 9, 13, 27, 39, 117, 351

124 : 1, 2, 4, 31, 62, 124

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,587,351,124,775, is 1.

Now, the common factors can be found like this.

651:3x 7x 31

587:587

351:3x 3x 3x 13

124:2x 2x 31

775:5x 5x 31

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

3x 31x 31 = 2883

Therefore, the value for common factors is 2883.

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 = 12889901360700/(1x2883)

LCM = 12889901360700/2883

LCM = 4471002900

Thus, we can understand that the LCM of 651,587,351,124,775 is 4471002900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 651, 587, 351, 124, 775

1. What is the LCM of 651, 587, 351, 124, 775?

Answer: LCM of 651, 587, 351, 124, 775 is 4471002900.

2. How to calculate the LCM of 651, 587, 351, 124, 775?

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 651, 587, 351, 124, 775.

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}.