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LCM of 651, 924, 719, 689, 341

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


Find the LCM of 651, 924, 719, 689, 341 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, 924, 719, 689, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 651,924,719,689,341

Given numbers are 651,924,719,689,341

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

The LCM of 651,924,719,689,341 is 14189979804.

Find LCM of 651,924,719,689,341 with Prime Factorization


3 651, 924, 719, 689, 341
7 217, 308, 719, 689, 341
11 31, 44, 719, 689, 341
31 31, 4, 719, 689, 31
1, 4, 719, 689, 1

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

3 x 7 x 11 x 31 x 1 x 4 x 719 x 689 x 1 = 14189979804

Therefore, the lowest common multiple of 651,924,719,689,341 is 14189979804.

LCM Formula to Find Lowest Common Multiple of 651,924,719,689,341

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 924 x 719 x 689 x 341 = 101614445376444

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

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

719 : 1, 719

689 : 1, 13, 53, 689

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,924,719,689,341, is 1.

Now, the common factors can be found like this.

651:3x 7x 31

924:2x 2x 3x 7x 11

719:719

689:13x 53

341:11x 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 7x 11x 31 = 7161

Therefore, the value for common factors is 7161.

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 = 101614445376444/(1x7161)

LCM = 101614445376444/7161

LCM = 14189979804

Thus, we can understand that the LCM of 651,924,719,689,341 is 14189979804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 651, 924, 719, 689, 341

1. What is the LCM of 651, 924, 719, 689, 341?

Answer: LCM of 651, 924, 719, 689, 341 is 14189979804.

2. How to calculate the LCM of 651, 924, 719, 689, 341?

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, 924, 719, 689, 341.

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}.