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LCM of 938, 772, 892, 175, 750

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


Find the LCM of 938, 772, 892, 175, 750 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, 772, 892, 175, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 938,772,892,175,750

Given numbers are 938,772,892,175,750

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

The LCM of 938,772,892,175,750 is 30277936500.

Find LCM of 938,772,892,175,750 with Prime Factorization


2 938, 772, 892, 175, 750
2 469, 386, 446, 175, 375
5 469, 193, 223, 175, 375
5 469, 193, 223, 35, 75
7 469, 193, 223, 7, 15
67, 193, 223, 1, 15

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

2 x 2 x 5 x 5 x 7 x 67 x 193 x 223 x 1 x 15 = 30277936500

Therefore, the lowest common multiple of 938,772,892,175,750 is 30277936500.

LCM Formula to Find Lowest Common Multiple of 938,772,892,175,750

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 772 x 892 x 175 x 750 = 84778222200000

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

772 : 1, 2, 4, 193, 386, 772

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

175 : 1, 5, 7, 25, 35, 175

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,772,892,175,750, is 1.

Now, the common factors can be found like this.

938:2x 7x 67

772:2x 2x 193

892:2x 2x 223

175:5x 5x 7

750:2x 3x 5x 5x 5

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 2x 5x 5x 7 = 2800

Therefore, the value for common factors is 2800.

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 = 84778222200000/(1x2800)

LCM = 84778222200000/2800

LCM = 30277936500

Thus, we can understand that the LCM of 938,772,892,175,750 is 30277936500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 938, 772, 892, 175, 750

1. What is the LCM of 938, 772, 892, 175, 750?

Answer: LCM of 938, 772, 892, 175, 750 is 30277936500.

2. How to calculate the LCM of 938, 772, 892, 175, 750?

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, 772, 892, 175, 750.

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}.