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LCM of 418, 484, 781, 436

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


Find the LCM of 418, 484, 781, 436 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 418, 484, 781, 436. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,484,781,436

Given numbers are 418,484,781,436

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

The LCM of 418,484,781,436 is 71167844.

Find LCM of 418,484,781,436 with Prime Factorization


2 418, 484, 781, 436
2 209, 242, 781, 218
11 209, 121, 781, 109
19, 11, 71, 109

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

2 x 2 x 11 x 19 x 11 x 71 x 109 = 71167844

Therefore, the lowest common multiple of 418,484,781,436 is 71167844.

LCM Formula to Find Lowest Common Multiple of 418,484,781,436

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.

418 x 484 x 781 x 436 = 68890472992

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

781 : 1, 11, 71, 781

436 : 1, 2, 4, 109, 218, 436

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,484,781,436, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

484:2x 2x 11x 11

781:11x 71

436:2x 2x 109

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 68890472992/(1x968)

LCM = 68890472992/968

LCM = 71167844

Thus, we can understand that the LCM of 418,484,781,436 is 71167844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 484, 781, 436

1. What is the LCM of 418, 484, 781, 436?

Answer: LCM of 418, 484, 781, 436 is 71167844.

2. How to calculate the LCM of 418, 484, 781, 436?

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 418, 484, 781, 436.

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}.