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LCM of 970, 970, 899, 368

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


Find the LCM of 970, 970, 899, 368 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 970, 970, 899, 368. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 970,970,899,368

Given numbers are 970,970,899,368

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

The LCM of 970,970,899,368 is 160453520.

Find LCM of 970,970,899,368 with Prime Factorization


2 970, 970, 899, 368
5 485, 485, 899, 184
97 97, 97, 899, 184
1, 1, 899, 184

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

2 x 5 x 97 x 1 x 1 x 899 x 184 = 160453520

Therefore, the lowest common multiple of 970,970,899,368 is 160453520.

LCM Formula to Find Lowest Common Multiple of 970,970,899,368

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.

970 x 970 x 899 x 368 = 311279828800

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

970 : 1, 2, 5, 10, 97, 194, 485, 970

899 : 1, 29, 31, 899

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,970,899,368, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

970:2x 5x 97

899:29x 31

368:2x 2x 2x 2x 23

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 5x 97 = 1940

Therefore, the value for common factors is 1940.

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 = 311279828800/(1x1940)

LCM = 311279828800/1940

LCM = 160453520

Thus, we can understand that the LCM of 970,970,899,368 is 160453520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 970, 970, 899, 368

1. What is the LCM of 970, 970, 899, 368?

Answer: LCM of 970, 970, 899, 368 is 160453520.

2. How to calculate the LCM of 970, 970, 899, 368?

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 970, 970, 899, 368.

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}.