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LCM of 760, 551, 348, 394, 726

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


Find the LCM of 760, 551, 348, 394, 726 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 760, 551, 348, 394, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 760,551,348,394,726

Given numbers are 760,551,348,394,726

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

The LCM of 760,551,348,394,726 is 1576102440.

Find LCM of 760,551,348,394,726 with Prime Factorization


2 760, 551, 348, 394, 726
2 380, 551, 174, 197, 363
3 190, 551, 87, 197, 363
19 190, 551, 29, 197, 121
29 10, 29, 29, 197, 121
10, 1, 1, 197, 121

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

2 x 2 x 3 x 19 x 29 x 10 x 1 x 1 x 197 x 121 = 1576102440

Therefore, the lowest common multiple of 760,551,348,394,726 is 1576102440.

LCM Formula to Find Lowest Common Multiple of 760,551,348,394,726

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.

760 x 551 x 348 x 394 x 726 = 41684757333120

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

551 : 1, 19, 29, 551

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

394 : 1, 2, 197, 394

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,551,348,394,726, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

551:19x 29

348:2x 2x 3x 29

394:2x 197

726:2x 3x 11x 11

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 3x 19x 29 = 26448

Therefore, the value for common factors is 26448.

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 = 41684757333120/(1x26448)

LCM = 41684757333120/26448

LCM = 1576102440

Thus, we can understand that the LCM of 760,551,348,394,726 is 1576102440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 760, 551, 348, 394, 726

1. What is the LCM of 760, 551, 348, 394, 726?

Answer: LCM of 760, 551, 348, 394, 726 is 1576102440.

2. How to calculate the LCM of 760, 551, 348, 394, 726?

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 760, 551, 348, 394, 726.

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}.