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LCM of 893, 112, 893, 100, 639

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


Find the LCM of 893, 112, 893, 100, 639 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 893, 112, 893, 100, 639. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,112,893,100,639

Given numbers are 893,112,893,100,639

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

The LCM of 893,112,893,100,639 is 1597755600.

Find LCM of 893,112,893,100,639 with Prime Factorization


2 893, 112, 893, 100, 639
2 893, 56, 893, 50, 639
19 893, 28, 893, 25, 639
47 47, 28, 47, 25, 639
1, 28, 1, 25, 639

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

2 x 2 x 19 x 47 x 1 x 28 x 1 x 25 x 639 = 1597755600

Therefore, the lowest common multiple of 893,112,893,100,639 is 1597755600.

LCM Formula to Find Lowest Common Multiple of 893,112,893,100,639

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.

893 x 112 x 893 x 100 x 639 = 5707183003200

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.

893 : 1, 19, 47, 893

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

893 : 1, 19, 47, 893

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,112,893,100,639, is 1.

Now, the common factors can be found like this.

893:19x 47

112:2x 2x 2x 2x 7

893:19x 47

100:2x 2x 5x 5

639:3x 3x 71

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 19x 47 = 3572

Therefore, the value for common factors is 3572.

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 = 5707183003200/(1x3572)

LCM = 5707183003200/3572

LCM = 1597755600

Thus, we can understand that the LCM of 893,112,893,100,639 is 1597755600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 112, 893, 100, 639

1. What is the LCM of 893, 112, 893, 100, 639?

Answer: LCM of 893, 112, 893, 100, 639 is 1597755600.

2. How to calculate the LCM of 893, 112, 893, 100, 639?

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 893, 112, 893, 100, 639.

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}.