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LCM of 938, 900, 490, 971, 701

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


Find the LCM of 938, 900, 490, 971, 701 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 938, 900, 490, 971, 701. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 938,900,490,971,701

Given numbers are 938,900,490,971,701

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

The LCM of 938,900,490,971,701 is 2011178603700.

Find LCM of 938,900,490,971,701 with Prime Factorization


2 938, 900, 490, 971, 701
5 469, 450, 245, 971, 701
7 469, 90, 49, 971, 701
67, 90, 7, 971, 701

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

2 x 5 x 7 x 67 x 90 x 7 x 971 x 701 = 2011178603700

Therefore, the lowest common multiple of 938,900,490,971,701 is 2011178603700.

LCM Formula to Find Lowest Common Multiple of 938,900,490,971,701

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.

938 x 900 x 490 x 971 x 701 = 281565004518000

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.

938 : 1, 2, 7, 14, 67, 134, 469, 938

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

971 : 1, 971

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,900,490,971,701, is 1.

Now, the common factors can be found like this.

938:2x 7x 67

900:2x 2x 3x 3x 5x 5

490:2x 5x 7x 7

971:971

701:701

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 7 = 140

Therefore, the value for common factors is 140.

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 = 281565004518000/(1x140)

LCM = 281565004518000/140

LCM = 2011178603700

Thus, we can understand that the LCM of 938,900,490,971,701 is 2011178603700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 938, 900, 490, 971, 701

1. What is the LCM of 938, 900, 490, 971, 701?

Answer: LCM of 938, 900, 490, 971, 701 is 2011178603700.

2. How to calculate the LCM of 938, 900, 490, 971, 701?

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 938, 900, 490, 971, 701.

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}.