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LCM of 929, 713, 597, 398, 646

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


Find the LCM of 929, 713, 597, 398, 646 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 929, 713, 597, 398, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 929,713,597,398,646

Given numbers are 929,713,597,398,646

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

The LCM of 929,713,597,398,646 is 255453638574.

Find LCM of 929,713,597,398,646 with Prime Factorization


2 929, 713, 597, 398, 646
199 929, 713, 597, 199, 323
929, 713, 3, 1, 323

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

2 x 199 x 929 x 713 x 3 x 1 x 323 = 255453638574

Therefore, the lowest common multiple of 929,713,597,398,646 is 255453638574.

LCM Formula to Find Lowest Common Multiple of 929,713,597,398,646

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.

929 x 713 x 597 x 398 x 646 = 101670548152452

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.

929 : 1, 929

713 : 1, 23, 31, 713

597 : 1, 3, 199, 597

398 : 1, 2, 199, 398

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,713,597,398,646, is 1.

Now, the common factors can be found like this.

929:929

713:23x 31

597:3x 199

398:2x 199

646:2x 17x 19

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

2x 199 = 398

Therefore, the value for common factors is 398.

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 = 101670548152452/(1x398)

LCM = 101670548152452/398

LCM = 255453638574

Thus, we can understand that the LCM of 929,713,597,398,646 is 255453638574.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 929, 713, 597, 398, 646

1. What is the LCM of 929, 713, 597, 398, 646?

Answer: LCM of 929, 713, 597, 398, 646 is 255453638574.

2. How to calculate the LCM of 929, 713, 597, 398, 646?

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 929, 713, 597, 398, 646.

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}.