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LCM of 793, 188, 564, 251

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


Find the LCM of 793, 188, 564, 251 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 793, 188, 564, 251. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,188,564,251

Given numbers are 793,188,564,251

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

The LCM of 793,188,564,251 is 112260252.

Find LCM of 793,188,564,251 with Prime Factorization


2 793, 188, 564, 251
2 793, 94, 282, 251
47 793, 47, 141, 251
793, 1, 3, 251

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

2 x 2 x 47 x 793 x 1 x 3 x 251 = 112260252

Therefore, the lowest common multiple of 793,188,564,251 is 112260252.

LCM Formula to Find Lowest Common Multiple of 793,188,564,251

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.

793 x 188 x 564 x 251 = 21104927376

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.

793 : 1, 13, 61, 793

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

251 : 1, 251

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,188,564,251, is 1.

Now, the common factors can be found like this.

793:13x 61

188:2x 2x 47

564:2x 2x 3x 47

251:251

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 47 = 188

Therefore, the value for common factors is 188.

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 = 21104927376/(1x188)

LCM = 21104927376/188

LCM = 112260252

Thus, we can understand that the LCM of 793,188,564,251 is 112260252.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 188, 564, 251

1. What is the LCM of 793, 188, 564, 251?

Answer: LCM of 793, 188, 564, 251 is 112260252.

2. How to calculate the LCM of 793, 188, 564, 251?

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 793, 188, 564, 251.

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}.