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LCM of 749, 844, 946, 211

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


Find the LCM of 749, 844, 946, 211 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 749, 844, 946, 211. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,844,946,211

Given numbers are 749,844,946,211

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

The LCM of 749,844,946,211 is 299009788.

Find LCM of 749,844,946,211 with Prime Factorization


2 749, 844, 946, 211
211 749, 422, 473, 211
749, 2, 473, 1

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

2 x 211 x 749 x 2 x 473 x 1 = 299009788

Therefore, the lowest common multiple of 749,844,946,211 is 299009788.

LCM Formula to Find Lowest Common Multiple of 749,844,946,211

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.

749 x 844 x 946 x 211 = 126182130536

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.

749 : 1, 7, 107, 749

844 : 1, 2, 4, 211, 422, 844

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

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,844,946,211, is 1.

Now, the common factors can be found like this.

749:7x 107

844:2x 2x 211

946:2x 11x 43

211:211

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

2x 211 = 422

Therefore, the value for common factors is 422.

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 = 126182130536/(1x422)

LCM = 126182130536/422

LCM = 299009788

Thus, we can understand that the LCM of 749,844,946,211 is 299009788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 844, 946, 211

1. What is the LCM of 749, 844, 946, 211?

Answer: LCM of 749, 844, 946, 211 is 299009788.

2. How to calculate the LCM of 749, 844, 946, 211?

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 749, 844, 946, 211.

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}.