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LCM of 774, 246, 700, 451

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


Find the LCM of 774, 246, 700, 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 774, 246, 700, 451. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 774,246,700,451

Given numbers are 774,246,700,451

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

The LCM of 774,246,700,451 is 122175900.

Find LCM of 774,246,700,451 with Prime Factorization


2 774, 246, 700, 451
3 387, 123, 350, 451
41 129, 41, 350, 451
129, 1, 350, 11

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

2 x 3 x 41 x 129 x 1 x 350 x 11 = 122175900

Therefore, the lowest common multiple of 774,246,700,451 is 122175900.

LCM Formula to Find Lowest Common Multiple of 774,246,700,451

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.

774 x 246 x 700 x 451 = 60110542800

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.

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

246 : 1, 2, 3, 6, 41, 82, 123, 246

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,246,700,451, is 1.

Now, the common factors can be found like this.

774:2x 3x 3x 43

246:2x 3x 41

700:2x 2x 5x 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 3x 41 = 492

Therefore, the value for common factors is 492.

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 = 60110542800/(1x492)

LCM = 60110542800/492

LCM = 122175900

Thus, we can understand that the LCM of 774,246,700,451 is 122175900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 774, 246, 700, 451

1. What is the LCM of 774, 246, 700, 451?

Answer: LCM of 774, 246, 700, 451 is 122175900.

2. How to calculate the LCM of 774, 246, 700, 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 774, 246, 700, 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}.