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LCM of 398, 714, 649, 766, 261

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


Find the LCM of 398, 714, 649, 766, 261 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 398, 714, 649, 766, 261. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,714,649,766,261

Given numbers are 398,714,649,766,261

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

The LCM of 398,714,649,766,261 is 3072656496294.

Find LCM of 398,714,649,766,261 with Prime Factorization


2 398, 714, 649, 766, 261
3 199, 357, 649, 383, 261
199, 119, 649, 383, 87

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

2 x 3 x 199 x 119 x 649 x 383 x 87 = 3072656496294

Therefore, the lowest common multiple of 398,714,649,766,261 is 3072656496294.

LCM Formula to Find Lowest Common Multiple of 398,714,649,766,261

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.

398 x 714 x 649 x 766 x 261 = 36871877955528

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.

398 : 1, 2, 199, 398

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

649 : 1, 11, 59, 649

766 : 1, 2, 383, 766

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,714,649,766,261, is 1.

Now, the common factors can be found like this.

398:2x 199

714:2x 3x 7x 17

649:11x 59

766:2x 383

261:3x 3x 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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 36871877955528/(1x12)

LCM = 36871877955528/12

LCM = 3072656496294

Thus, we can understand that the LCM of 398,714,649,766,261 is 3072656496294.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 714, 649, 766, 261

1. What is the LCM of 398, 714, 649, 766, 261?

Answer: LCM of 398, 714, 649, 766, 261 is 3072656496294.

2. How to calculate the LCM of 398, 714, 649, 766, 261?

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 398, 714, 649, 766, 261.

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}.