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LCM of 797, 461, 922, 119

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


Find the LCM of 797, 461, 922, 119 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 797, 461, 922, 119. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,461,922,119

Given numbers are 797,461,922,119

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

The LCM of 797,461,922,119 is 87445246.

Find LCM of 797,461,922,119 with Prime Factorization


461 797, 461, 922, 119
797, 1, 2, 119

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

461 x 797 x 1 x 2 x 119 = 87445246

Therefore, the lowest common multiple of 797,461,922,119 is 87445246.

LCM Formula to Find Lowest Common Multiple of 797,461,922,119

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.

797 x 461 x 922 x 119 = 40312258406

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.

797 : 1, 797

461 : 1, 461

922 : 1, 2, 461, 922

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,461,922,119, is 1.

Now, the common factors can be found like this.

797:797

461:461

922:2x 461

119:7x 17

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

461 = 461

Therefore, the value for common factors is 461.

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 = 40312258406/(1x461)

LCM = 40312258406/461

LCM = 87445246

Thus, we can understand that the LCM of 797,461,922,119 is 87445246.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 461, 922, 119

1. What is the LCM of 797, 461, 922, 119?

Answer: LCM of 797, 461, 922, 119 is 87445246.

2. How to calculate the LCM of 797, 461, 922, 119?

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 797, 461, 922, 119.

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}.