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LCM of 188, 893, 560, 278

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


Find the LCM of 188, 893, 560, 278 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 188, 893, 560, 278. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 188,893,560,278

Given numbers are 188,893,560,278

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

The LCM of 188,893,560,278 is 69511120.

Find LCM of 188,893,560,278 with Prime Factorization


2 188, 893, 560, 278
2 94, 893, 280, 139
47 47, 893, 140, 139
1, 19, 140, 139

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

2 x 2 x 47 x 1 x 19 x 140 x 139 = 69511120

Therefore, the lowest common multiple of 188,893,560,278 is 69511120.

LCM Formula to Find Lowest Common Multiple of 188,893,560,278

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.

188 x 893 x 560 x 278 = 26136181120

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.

188 : 1, 2, 4, 47, 94, 188

893 : 1, 19, 47, 893

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,893,560,278, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

893:19x 47

560:2x 2x 2x 2x 5x 7

278:2x 139

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 47 = 376

Therefore, the value for common factors is 376.

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 = 26136181120/(1x376)

LCM = 26136181120/376

LCM = 69511120

Thus, we can understand that the LCM of 188,893,560,278 is 69511120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 188, 893, 560, 278

1. What is the LCM of 188, 893, 560, 278?

Answer: LCM of 188, 893, 560, 278 is 69511120.

2. How to calculate the LCM of 188, 893, 560, 278?

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 188, 893, 560, 278.

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}.