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LCM of 653, 70, 614

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


Find the LCM of 653, 70, 614 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 653, 70, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 653,70,614

Given numbers are 653,70,614

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

The LCM of 653,70,614 is 14032970.

Find LCM of 653,70,614 with Prime Factorization


2 653, 70, 614
653, 35, 307

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

2 x 653 x 35 x 307 = 14032970

Therefore, the lowest common multiple of 653,70,614 is 14032970.

LCM Formula to Find Lowest Common Multiple of 653,70,614

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.

653 x 70 x 614 = 28065940

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.

653 : 1, 653

70 : 1, 2, 5, 7, 10, 14, 35, 70

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,70,614, is 1.

Now, the common factors can be found like this.

653:653

70:2x 5x 7

614:2x 307

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

2 = 2

Therefore, the value for common factors is 2.

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 = 28065940/(1x2)

LCM = 28065940/2

LCM = 14032970

Thus, we can understand that the LCM of 653,70,614 is 14032970.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 653, 70, 614

1. What is the LCM of 653, 70, 614?

Answer: LCM of 653, 70, 614 is 14032970.

2. How to calculate the LCM of 653, 70, 614?

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 653, 70, 614.

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}.