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LCM of 975, 395, 155, 253, 553

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


Find the LCM of 975, 395, 155, 253, 553 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, 395, 155, 253, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 975,395,155,253,553

Given numbers are 975,395,155,253,553

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

The LCM of 975,395,155,253,553 is 4228749525.

Find LCM of 975,395,155,253,553 with Prime Factorization


5 975, 395, 155, 253, 553
79 195, 79, 31, 253, 553
195, 1, 31, 253, 7

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

5 x 79 x 195 x 1 x 31 x 253 x 7 = 4228749525

Therefore, the lowest common multiple of 975,395,155,253,553 is 4228749525.

LCM Formula to Find Lowest Common Multiple of 975,395,155,253,553

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 395 x 155 x 253 x 553 = 8351780311875

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

395 : 1, 5, 79, 395

155 : 1, 5, 31, 155

253 : 1, 11, 23, 253

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,395,155,253,553, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

395:5x 79

155:5x 31

253:11x 23

553:7x 79

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

5x 5x 79 = 1975

Therefore, the value for common factors is 1975.

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 = 8351780311875/(1x1975)

LCM = 8351780311875/1975

LCM = 4228749525

Thus, we can understand that the LCM of 975,395,155,253,553 is 4228749525.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 975, 395, 155, 253, 553

1. What is the LCM of 975, 395, 155, 253, 553?

Answer: LCM of 975, 395, 155, 253, 553 is 4228749525.

2. How to calculate the LCM of 975, 395, 155, 253, 553?

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, 395, 155, 253, 553.

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}.