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LCM of 374, 574, 975, 906

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


Find the LCM of 374, 574, 975, 906 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 374, 574, 975, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,574,975,906

Given numbers are 374,574,975,906

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

The LCM of 374,574,975,906 is 15802837050.

Find LCM of 374,574,975,906 with Prime Factorization


2 374, 574, 975, 906
3 187, 287, 975, 453
187, 287, 325, 151

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

2 x 3 x 187 x 287 x 325 x 151 = 15802837050

Therefore, the lowest common multiple of 374,574,975,906 is 15802837050.

LCM Formula to Find Lowest Common Multiple of 374,574,975,906

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.

374 x 574 x 975 x 906 = 189634044600

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

574 : 1, 2, 7, 14, 41, 82, 287, 574

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,574,975,906, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

574:2x 7x 41

975:3x 5x 5x 13

906:2x 3x 151

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 3 = 12

Therefore, the value for common factors is 12.

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 = 189634044600/(1x12)

LCM = 189634044600/12

LCM = 15802837050

Thus, we can understand that the LCM of 374,574,975,906 is 15802837050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 574, 975, 906

1. What is the LCM of 374, 574, 975, 906?

Answer: LCM of 374, 574, 975, 906 is 15802837050.

2. How to calculate the LCM of 374, 574, 975, 906?

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 374, 574, 975, 906.

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}.