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LCM of 975, 587, 682, 545

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


Find the LCM of 975, 587, 682, 545 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 975, 587, 682, 545. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 975,587,682,545

Given numbers are 975,587,682,545

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

The LCM of 975,587,682,545 is 42545495850.

Find LCM of 975,587,682,545 with Prime Factorization


5 975, 587, 682, 545
195, 587, 682, 109

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

5 x 195 x 587 x 682 x 109 = 42545495850

Therefore, the lowest common multiple of 975,587,682,545 is 42545495850.

LCM Formula to Find Lowest Common Multiple of 975,587,682,545

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.

975 x 587 x 682 x 545 = 212727479250

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.

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

587 : 1, 587

682 : 1, 2, 11, 22, 31, 62, 341, 682

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,587,682,545, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

587:587

682:2x 11x 31

545:5x 109

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

5 = 5

Therefore, the value for common factors is 5.

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 = 212727479250/(1x5)

LCM = 212727479250/5

LCM = 42545495850

Thus, we can understand that the LCM of 975,587,682,545 is 42545495850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 975, 587, 682, 545

1. What is the LCM of 975, 587, 682, 545?

Answer: LCM of 975, 587, 682, 545 is 42545495850.

2. How to calculate the LCM of 975, 587, 682, 545?

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 975, 587, 682, 545.

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}.