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LCM of 74, 91, 21, 370

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


Find the LCM of 74, 91, 21, 370 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 74, 91, 21, 370. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 74,91,21,370

Given numbers are 74,91,21,370

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

The LCM of 74,91,21,370 is 101010.

Find LCM of 74,91,21,370 with Prime Factorization


2 74, 91, 21, 370
7 37, 91, 21, 185
37 37, 13, 3, 185
1, 13, 3, 5

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

2 x 7 x 37 x 1 x 13 x 3 x 5 = 101010

Therefore, the lowest common multiple of 74,91,21,370 is 101010.

LCM Formula to Find Lowest Common Multiple of 74,91,21,370

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.

74 x 91 x 21 x 370 = 52323180

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.

74 : 1, 2, 37, 74

91 : 1, 7, 13, 91

21 : 1, 3, 7, 21

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 74,91,21,370, is 1.

Now, the common factors can be found like this.

74:2x 37

91:7x 13

21:3x 7

370:2x 5x 37

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

2x 7x 37 = 518

Therefore, the value for common factors is 518.

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 = 52323180/(1x518)

LCM = 52323180/518

LCM = 101010

Thus, we can understand that the LCM of 74,91,21,370 is 101010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 74, 91, 21, 370

1. What is the LCM of 74, 91, 21, 370?

Answer: LCM of 74, 91, 21, 370 is 101010.

2. How to calculate the LCM of 74, 91, 21, 370?

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 74, 91, 21, 370.

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}.