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LCM of 421, 432, 321, 968

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


Find the LCM of 421, 432, 321, 968 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, 432, 321, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,432,321,968

Given numbers are 421,432,321,968

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

The LCM of 421,432,321,968 is 2354696784.

Find LCM of 421,432,321,968 with Prime Factorization


2 421, 432, 321, 968
2 421, 216, 321, 484
2 421, 108, 321, 242
3 421, 54, 321, 121
421, 18, 107, 121

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

2 x 2 x 2 x 3 x 421 x 18 x 107 x 121 = 2354696784

Therefore, the lowest common multiple of 421,432,321,968 is 2354696784.

LCM Formula to Find Lowest Common Multiple of 421,432,321,968

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 432 x 321 x 968 = 56512722816

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

321 : 1, 3, 107, 321

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,432,321,968, is 1.

Now, the common factors can be found like this.

421:421

432:2x 2x 2x 2x 3x 3x 3

321:3x 107

968:2x 2x 2x 11x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 56512722816/(1x24)

LCM = 56512722816/24

LCM = 2354696784

Thus, we can understand that the LCM of 421,432,321,968 is 2354696784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 432, 321, 968

1. What is the LCM of 421, 432, 321, 968?

Answer: LCM of 421, 432, 321, 968 is 2354696784.

2. How to calculate the LCM of 421, 432, 321, 968?

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, 432, 321, 968.

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}.