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LCM of 756, 721, 154, 397, 124

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


Find the LCM of 756, 721, 154, 397, 124 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 756, 721, 154, 397, 124. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 756,721,154,397,124

Given numbers are 756,721,154,397,124

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

The LCM of 756,721,154,397,124 is 10541536236.

Find LCM of 756,721,154,397,124 with Prime Factorization


2 756, 721, 154, 397, 124
2 378, 721, 77, 397, 62
7 189, 721, 77, 397, 31
27, 103, 11, 397, 31

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

2 x 2 x 7 x 27 x 103 x 11 x 397 x 31 = 10541536236

Therefore, the lowest common multiple of 756,721,154,397,124 is 10541536236.

LCM Formula to Find Lowest Common Multiple of 756,721,154,397,124

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.

756 x 721 x 154 x 397 x 124 = 4132282204512

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

721 : 1, 7, 103, 721

154 : 1, 2, 7, 11, 14, 22, 77, 154

397 : 1, 397

124 : 1, 2, 4, 31, 62, 124

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,721,154,397,124, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

721:7x 103

154:2x 7x 11

397:397

124:2x 2x 31

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 4132282204512/(1x392)

LCM = 4132282204512/392

LCM = 10541536236

Thus, we can understand that the LCM of 756,721,154,397,124 is 10541536236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 756, 721, 154, 397, 124

1. What is the LCM of 756, 721, 154, 397, 124?

Answer: LCM of 756, 721, 154, 397, 124 is 10541536236.

2. How to calculate the LCM of 756, 721, 154, 397, 124?

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 756, 721, 154, 397, 124.

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}.