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LCM of 421, 968, 359, 138, 482

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


Find the LCM of 421, 968, 359, 138, 482 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 421, 968, 359, 138, 482. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,968,359,138,482

Given numbers are 421,968,359,138,482

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

The LCM of 421,968,359,138,482 is 2432865137208.

Find LCM of 421,968,359,138,482 with Prime Factorization


2 421, 968, 359, 138, 482
421, 484, 359, 69, 241

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

2 x 421 x 484 x 359 x 69 x 241 = 2432865137208

Therefore, the lowest common multiple of 421,968,359,138,482 is 2432865137208.

LCM Formula to Find Lowest Common Multiple of 421,968,359,138,482

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.

421 x 968 x 359 x 138 x 482 = 9731460548832

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.

421 : 1, 421

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

359 : 1, 359

138 : 1, 2, 3, 6, 23, 46, 69, 138

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,968,359,138,482, is 1.

Now, the common factors can be found like this.

421:421

968:2x 2x 2x 11x 11

359:359

138:2x 3x 23

482:2x 241

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9731460548832/(1x4)

LCM = 9731460548832/4

LCM = 2432865137208

Thus, we can understand that the LCM of 421,968,359,138,482 is 2432865137208.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 968, 359, 138, 482

1. What is the LCM of 421, 968, 359, 138, 482?

Answer: LCM of 421, 968, 359, 138, 482 is 2432865137208.

2. How to calculate the LCM of 421, 968, 359, 138, 482?

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 421, 968, 359, 138, 482.

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}.