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LCM of 828, 774, 137, 528, 788

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


Find the LCM of 828, 774, 137, 528, 788 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 828, 774, 137, 528, 788. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,774,137,528,788

Given numbers are 828,774,137,528,788

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

The LCM of 828,774,137,528,788 is 42280319664.

Find LCM of 828,774,137,528,788 with Prime Factorization


2 828, 774, 137, 528, 788
2 414, 387, 137, 264, 394
3 207, 387, 137, 132, 197
3 69, 129, 137, 44, 197
23, 43, 137, 44, 197

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

2 x 2 x 3 x 3 x 23 x 43 x 137 x 44 x 197 = 42280319664

Therefore, the lowest common multiple of 828,774,137,528,788 is 42280319664.

LCM Formula to Find Lowest Common Multiple of 828,774,137,528,788

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.

828 x 774 x 137 x 528 x 788 = 36530196189696

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

137 : 1, 137

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,774,137,528,788, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

774:2x 3x 3x 43

137:137

528:2x 2x 2x 2x 3x 11

788:2x 2x 197

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 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 36530196189696/(1x864)

LCM = 36530196189696/864

LCM = 42280319664

Thus, we can understand that the LCM of 828,774,137,528,788 is 42280319664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 774, 137, 528, 788

1. What is the LCM of 828, 774, 137, 528, 788?

Answer: LCM of 828, 774, 137, 528, 788 is 42280319664.

2. How to calculate the LCM of 828, 774, 137, 528, 788?

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 828, 774, 137, 528, 788.

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}.