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LCM of 669, 468, 461, 426

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


Find the LCM of 669, 468, 461, 426 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 669, 468, 461, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,468,461,426

Given numbers are 669,468,461,426

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

The LCM of 669,468,461,426 is 3415938084.

Find LCM of 669,468,461,426 with Prime Factorization


2 669, 468, 461, 426
3 669, 234, 461, 213
223, 78, 461, 71

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

2 x 3 x 223 x 78 x 461 x 71 = 3415938084

Therefore, the lowest common multiple of 669,468,461,426 is 3415938084.

LCM Formula to Find Lowest Common Multiple of 669,468,461,426

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.

669 x 468 x 461 x 426 = 61486885512

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.

669 : 1, 3, 223, 669

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

461 : 1, 461

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,468,461,426, is 1.

Now, the common factors can be found like this.

669:3x 223

468:2x 2x 3x 3x 13

461:461

426:2x 3x 71

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 61486885512/(1x18)

LCM = 61486885512/18

LCM = 3415938084

Thus, we can understand that the LCM of 669,468,461,426 is 3415938084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 468, 461, 426

1. What is the LCM of 669, 468, 461, 426?

Answer: LCM of 669, 468, 461, 426 is 3415938084.

2. How to calculate the LCM of 669, 468, 461, 426?

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 669, 468, 461, 426.

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}.