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LCM of 374, 975, 429, 892

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


Find the LCM of 374, 975, 429, 892 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, 975, 429, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,975,429,892

Given numbers are 374,975,429,892

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

The LCM of 374,975,429,892 is 162633900.

Find LCM of 374,975,429,892 with Prime Factorization


2 374, 975, 429, 892
3 187, 975, 429, 446
11 187, 325, 143, 446
13 17, 325, 13, 446
17, 25, 1, 446

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

2 x 3 x 11 x 13 x 17 x 25 x 1 x 446 = 162633900

Therefore, the lowest common multiple of 374,975,429,892 is 162633900.

LCM Formula to Find Lowest Common Multiple of 374,975,429,892

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 975 x 429 x 892 = 139539886200

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

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

429 : 1, 3, 11, 13, 33, 39, 143, 429

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,975,429,892, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

975:3x 5x 5x 13

429:3x 11x 13

892:2x 2x 223

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

2x 3x 11x 13 = 858

Therefore, the value for common factors is 858.

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 = 139539886200/(1x858)

LCM = 139539886200/858

LCM = 162633900

Thus, we can understand that the LCM of 374,975,429,892 is 162633900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 975, 429, 892

1. What is the LCM of 374, 975, 429, 892?

Answer: LCM of 374, 975, 429, 892 is 162633900.

2. How to calculate the LCM of 374, 975, 429, 892?

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, 975, 429, 892.

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}.