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LCM of 294, 711, 588, 127

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


Find the LCM of 294, 711, 588, 127 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 294, 711, 588, 127. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 294,711,588,127

Given numbers are 294,711,588,127

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

The LCM of 294,711,588,127 is 17698212.

Find LCM of 294,711,588,127 with Prime Factorization


2 294, 711, 588, 127
3 147, 711, 294, 127
7 49, 237, 98, 127
7 7, 237, 14, 127
1, 237, 2, 127

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

2 x 3 x 7 x 7 x 1 x 237 x 2 x 127 = 17698212

Therefore, the lowest common multiple of 294,711,588,127 is 17698212.

LCM Formula to Find Lowest Common Multiple of 294,711,588,127

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.

294 x 711 x 588 x 127 = 15609822984

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

711 : 1, 3, 9, 79, 237, 711

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

127 : 1, 127

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,711,588,127, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

711:3x 3x 79

588:2x 2x 3x 7x 7

127:127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 7x 7 = 882

Therefore, the value for common factors is 882.

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 = 15609822984/(1x882)

LCM = 15609822984/882

LCM = 17698212

Thus, we can understand that the LCM of 294,711,588,127 is 17698212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 294, 711, 588, 127

1. What is the LCM of 294, 711, 588, 127?

Answer: LCM of 294, 711, 588, 127 is 17698212.

2. How to calculate the LCM of 294, 711, 588, 127?

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 294, 711, 588, 127.

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}.