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LCM of 760, 424, 420, 451

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


Find the LCM of 760, 424, 420, 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 760, 424, 420, 451. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 760,424,420,451

Given numbers are 760,424,420,451

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

The LCM of 760,424,420,451 is 381491880.

Find LCM of 760,424,420,451 with Prime Factorization


2 760, 424, 420, 451
2 380, 212, 210, 451
2 190, 106, 105, 451
5 95, 53, 105, 451
19, 53, 21, 451

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

2 x 2 x 2 x 5 x 19 x 53 x 21 x 451 = 381491880

Therefore, the lowest common multiple of 760,424,420,451 is 381491880.

LCM Formula to Find Lowest Common Multiple of 760,424,420,451

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.

760 x 424 x 420 x 451 = 61038700800

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

424 : 1, 2, 4, 8, 53, 106, 212, 424

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,424,420,451, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

424:2x 2x 2x 53

420:2x 2x 3x 5x 7

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 2x 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 61038700800/(1x160)

LCM = 61038700800/160

LCM = 381491880

Thus, we can understand that the LCM of 760,424,420,451 is 381491880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 760, 424, 420, 451

1. What is the LCM of 760, 424, 420, 451?

Answer: LCM of 760, 424, 420, 451 is 381491880.

2. How to calculate the LCM of 760, 424, 420, 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 760, 424, 420, 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}.