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LCM of 379, 506, 552, 451

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


Find the LCM of 379, 506, 552, 451 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 379, 506, 552, 451. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,506,552,451

Given numbers are 379,506,552,451

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

The LCM of 379,506,552,451 is 94352808.

Find LCM of 379,506,552,451 with Prime Factorization


2 379, 506, 552, 451
11 379, 253, 276, 451
23 379, 23, 276, 41
379, 1, 12, 41

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

2 x 11 x 23 x 379 x 1 x 12 x 41 = 94352808

Therefore, the lowest common multiple of 379,506,552,451 is 94352808.

LCM Formula to Find Lowest Common Multiple of 379,506,552,451

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.

379 x 506 x 552 x 451 = 47742520848

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.

379 : 1, 379

506 : 1, 2, 11, 22, 23, 46, 253, 506

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,506,552,451, is 1.

Now, the common factors can be found like this.

379:379

506:2x 11x 23

552:2x 2x 2x 3x 23

451:11x 41

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

2x 11x 23 = 506

Therefore, the value for common factors is 506.

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 = 47742520848/(1x506)

LCM = 47742520848/506

LCM = 94352808

Thus, we can understand that the LCM of 379,506,552,451 is 94352808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 506, 552, 451

1. What is the LCM of 379, 506, 552, 451?

Answer: LCM of 379, 506, 552, 451 is 94352808.

2. How to calculate the LCM of 379, 506, 552, 451?

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 379, 506, 552, 451.

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}.