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LCM of 654, 728, 311, 975, 763

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


Find the LCM of 654, 728, 311, 975, 763 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 654, 728, 311, 975, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,728,311,975,763

Given numbers are 654,728,311,975,763

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

The LCM of 654,728,311,975,763 is 1850885400.

Find LCM of 654,728,311,975,763 with Prime Factorization


2 654, 728, 311, 975, 763
3 327, 364, 311, 975, 763
7 109, 364, 311, 325, 763
13 109, 52, 311, 325, 109
109 109, 4, 311, 25, 109
1, 4, 311, 25, 1

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

2 x 3 x 7 x 13 x 109 x 1 x 4 x 311 x 25 x 1 = 1850885400

Therefore, the lowest common multiple of 654,728,311,975,763 is 1850885400.

LCM Formula to Find Lowest Common Multiple of 654,728,311,975,763

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.

654 x 728 x 311 x 975 x 763 = 110153593695600

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

311 : 1, 311

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,728,311,975,763, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

728:2x 2x 2x 7x 13

311:311

975:3x 5x 5x 13

763:7x 109

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

2x 3x 7x 13x 109 = 59514

Therefore, the value for common factors is 59514.

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 = 110153593695600/(1x59514)

LCM = 110153593695600/59514

LCM = 1850885400

Thus, we can understand that the LCM of 654,728,311,975,763 is 1850885400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 728, 311, 975, 763

1. What is the LCM of 654, 728, 311, 975, 763?

Answer: LCM of 654, 728, 311, 975, 763 is 1850885400.

2. How to calculate the LCM of 654, 728, 311, 975, 763?

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 654, 728, 311, 975, 763.

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}.