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LCM of 702, 977, 596, 964, 242

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


Find the LCM of 702, 977, 596, 964, 242 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 702, 977, 596, 964, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 702,977,596,964,242

Given numbers are 702,977,596,964,242

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

The LCM of 702,977,596,964,242 is 5960056171212.

Find LCM of 702,977,596,964,242 with Prime Factorization


2 702, 977, 596, 964, 242
2 351, 977, 298, 482, 121
351, 977, 149, 241, 121

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

2 x 2 x 351 x 977 x 149 x 241 x 121 = 5960056171212

Therefore, the lowest common multiple of 702,977,596,964,242 is 5960056171212.

LCM Formula to Find Lowest Common Multiple of 702,977,596,964,242

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.

702 x 977 x 596 x 964 x 242 = 95360898739392

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

977 : 1, 977

596 : 1, 2, 4, 149, 298, 596

964 : 1, 2, 4, 241, 482, 964

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,977,596,964,242, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

977:977

596:2x 2x 149

964:2x 2x 241

242:2x 11x 11

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 95360898739392/(1x16)

LCM = 95360898739392/16

LCM = 5960056171212

Thus, we can understand that the LCM of 702,977,596,964,242 is 5960056171212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 702, 977, 596, 964, 242

1. What is the LCM of 702, 977, 596, 964, 242?

Answer: LCM of 702, 977, 596, 964, 242 is 5960056171212.

2. How to calculate the LCM of 702, 977, 596, 964, 242?

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 702, 977, 596, 964, 242.

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}.