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LCM of 701, 689, 117, 364, 325

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


Find the LCM of 701, 689, 117, 364, 325 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 701, 689, 117, 364, 325. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,689,117,364,325

Given numbers are 701,689,117,364,325

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

The LCM of 701,689,117,364,325 is 3042830700.

Find LCM of 701,689,117,364,325 with Prime Factorization


13 701, 689, 117, 364, 325
701, 53, 9, 28, 25

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

13 x 701 x 53 x 9 x 28 x 25 = 3042830700

Therefore, the lowest common multiple of 701,689,117,364,325 is 3042830700.

LCM Formula to Find Lowest Common Multiple of 701,689,117,364,325

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.

701 x 689 x 117 x 364 x 325 = 6685099047900

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.

701 : 1, 701

689 : 1, 13, 53, 689

117 : 1, 3, 9, 13, 39, 117

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

325 : 1, 5, 13, 25, 65, 325

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,689,117,364,325, is 1.

Now, the common factors can be found like this.

701:701

689:13x 53

117:3x 3x 13

364:2x 2x 7x 13

325:5x 5x 13

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

13x 13x 13 = 2197

Therefore, the value for common factors is 2197.

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 = 6685099047900/(1x2197)

LCM = 6685099047900/2197

LCM = 3042830700

Thus, we can understand that the LCM of 701,689,117,364,325 is 3042830700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 689, 117, 364, 325

1. What is the LCM of 701, 689, 117, 364, 325?

Answer: LCM of 701, 689, 117, 364, 325 is 3042830700.

2. How to calculate the LCM of 701, 689, 117, 364, 325?

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 701, 689, 117, 364, 325.

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}.