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LCM of 109, 239, 956, 974, 655

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


Find the LCM of 109, 239, 956, 974, 655 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 109, 239, 956, 974, 655. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 109,239,956,974,655

Given numbers are 109,239,956,974,655

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

The LCM of 109,239,956,974,655 is 33239512940.

Find LCM of 109,239,956,974,655 with Prime Factorization


2 109, 239, 956, 974, 655
239 109, 239, 478, 487, 655
109, 1, 2, 487, 655

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

2 x 239 x 109 x 1 x 2 x 487 x 655 = 33239512940

Therefore, the lowest common multiple of 109,239,956,974,655 is 33239512940.

LCM Formula to Find Lowest Common Multiple of 109,239,956,974,655

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.

109 x 239 x 956 x 974 x 655 = 15888487185320

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.

109 : 1, 109

239 : 1, 239

956 : 1, 2, 4, 239, 478, 956

974 : 1, 2, 487, 974

655 : 1, 5, 131, 655

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,239,956,974,655, is 1.

Now, the common factors can be found like this.

109:109

239:239

956:2x 2x 239

974:2x 487

655:5x 131

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

2x 239 = 478

Therefore, the value for common factors is 478.

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 = 15888487185320/(1x478)

LCM = 15888487185320/478

LCM = 33239512940

Thus, we can understand that the LCM of 109,239,956,974,655 is 33239512940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 109, 239, 956, 974, 655

1. What is the LCM of 109, 239, 956, 974, 655?

Answer: LCM of 109, 239, 956, 974, 655 is 33239512940.

2. How to calculate the LCM of 109, 239, 956, 974, 655?

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 109, 239, 956, 974, 655.

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}.