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LCM of 322, 108, 196, 847, 541

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


Find the LCM of 322, 108, 196, 847, 541 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 322, 108, 196, 847, 541. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,108,196,847,541

Given numbers are 322,108,196,847,541

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

The LCM of 322,108,196,847,541 is 7967651076.

Find LCM of 322,108,196,847,541 with Prime Factorization


2 322, 108, 196, 847, 541
2 161, 54, 98, 847, 541
7 161, 27, 49, 847, 541
23, 27, 7, 121, 541

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

2 x 2 x 7 x 23 x 27 x 7 x 121 x 541 = 7967651076

Therefore, the lowest common multiple of 322,108,196,847,541 is 7967651076.

LCM Formula to Find Lowest Common Multiple of 322,108,196,847,541

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.

322 x 108 x 196 x 847 x 541 = 3123319221792

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

847 : 1, 7, 11, 77, 121, 847

541 : 1, 541

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,108,196,847,541, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

108:2x 2x 3x 3x 3

196:2x 2x 7x 7

847:7x 11x 11

541:541

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 = 3123319221792/(1x392)

LCM = 3123319221792/392

LCM = 7967651076

Thus, we can understand that the LCM of 322,108,196,847,541 is 7967651076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 108, 196, 847, 541

1. What is the LCM of 322, 108, 196, 847, 541?

Answer: LCM of 322, 108, 196, 847, 541 is 7967651076.

2. How to calculate the LCM of 322, 108, 196, 847, 541?

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 322, 108, 196, 847, 541.

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}.