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LCM of 391, 770, 946, 558

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


Find the LCM of 391, 770, 946, 558 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 391, 770, 946, 558. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,770,946,558

Given numbers are 391,770,946,558

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

The LCM of 391,770,946,558 is 3611936790.

Find LCM of 391,770,946,558 with Prime Factorization


2 391, 770, 946, 558
11 391, 385, 473, 279
391, 35, 43, 279

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

2 x 11 x 391 x 35 x 43 x 279 = 3611936790

Therefore, the lowest common multiple of 391,770,946,558 is 3611936790.

LCM Formula to Find Lowest Common Multiple of 391,770,946,558

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.

391 x 770 x 946 x 558 = 158925218760

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.

391 : 1, 17, 23, 391

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

946 : 1, 2, 11, 22, 43, 86, 473, 946

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,770,946,558, is 1.

Now, the common factors can be found like this.

391:17x 23

770:2x 5x 7x 11

946:2x 11x 43

558:2x 3x 3x 31

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 11 = 44

Therefore, the value for common factors is 44.

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 = 158925218760/(1x44)

LCM = 158925218760/44

LCM = 3611936790

Thus, we can understand that the LCM of 391,770,946,558 is 3611936790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 770, 946, 558

1. What is the LCM of 391, 770, 946, 558?

Answer: LCM of 391, 770, 946, 558 is 3611936790.

2. How to calculate the LCM of 391, 770, 946, 558?

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 391, 770, 946, 558.

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}.