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LCM of 970, 436, 596, 745, 211

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


Find the LCM of 970, 436, 596, 745, 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 970, 436, 596, 745, 211. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 970,436,596,745,211

Given numbers are 970,436,596,745,211

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

The LCM of 970,436,596,745,211 is 6648090940.

Find LCM of 970,436,596,745,211 with Prime Factorization


2 970, 436, 596, 745, 211
2 485, 218, 298, 745, 211
5 485, 109, 149, 745, 211
149 97, 109, 149, 149, 211
97, 109, 1, 1, 211

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

2 x 2 x 5 x 149 x 97 x 109 x 1 x 1 x 211 = 6648090940

Therefore, the lowest common multiple of 970,436,596,745,211 is 6648090940.

LCM Formula to Find Lowest Common Multiple of 970,436,596,745,211

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.

970 x 436 x 596 x 745 x 211 = 39622622002400

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

436 : 1, 2, 4, 109, 218, 436

596 : 1, 2, 4, 149, 298, 596

745 : 1, 5, 149, 745

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,436,596,745,211, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

436:2x 2x 109

596:2x 2x 149

745:5x 149

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 2x 2x 5x 149 = 5960

Therefore, the value for common factors is 5960.

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 = 39622622002400/(1x5960)

LCM = 39622622002400/5960

LCM = 6648090940

Thus, we can understand that the LCM of 970,436,596,745,211 is 6648090940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 970, 436, 596, 745, 211

1. What is the LCM of 970, 436, 596, 745, 211?

Answer: LCM of 970, 436, 596, 745, 211 is 6648090940.

2. How to calculate the LCM of 970, 436, 596, 745, 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 970, 436, 596, 745, 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}.