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LCM of 615, 847, 697, 164

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


Find the LCM of 615, 847, 697, 164 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 615, 847, 697, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 615,847,697,164

Given numbers are 615,847,697,164

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

The LCM of 615,847,697,164 is 35421540.

Find LCM of 615,847,697,164 with Prime Factorization


41 615, 847, 697, 164
15, 847, 17, 4

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

41 x 15 x 847 x 17 x 4 = 35421540

Therefore, the lowest common multiple of 615,847,697,164 is 35421540.

LCM Formula to Find Lowest Common Multiple of 615,847,697,164

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.

615 x 847 x 697 x 164 = 59543608740

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.

615 : 1, 3, 5, 15, 41, 123, 205, 615

847 : 1, 7, 11, 77, 121, 847

697 : 1, 17, 41, 697

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,847,697,164, is 1.

Now, the common factors can be found like this.

615:3x 5x 41

847:7x 11x 11

697:17x 41

164:2x 2x 41

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

41x 41 = 1681

Therefore, the value for common factors is 1681.

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 = 59543608740/(1x1681)

LCM = 59543608740/1681

LCM = 35421540

Thus, we can understand that the LCM of 615,847,697,164 is 35421540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 615, 847, 697, 164

1. What is the LCM of 615, 847, 697, 164?

Answer: LCM of 615, 847, 697, 164 is 35421540.

2. How to calculate the LCM of 615, 847, 697, 164?

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 615, 847, 697, 164.

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}.