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LCM of 770, 484, 280, 349, 137

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


Find the LCM of 770, 484, 280, 349, 137 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 770, 484, 280, 349, 137. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,484,280,349,137

Given numbers are 770,484,280,349,137

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

The LCM of 770,484,280,349,137 is 1619904440.

Find LCM of 770,484,280,349,137 with Prime Factorization


2 770, 484, 280, 349, 137
2 385, 242, 140, 349, 137
5 385, 121, 70, 349, 137
7 77, 121, 14, 349, 137
11 11, 121, 2, 349, 137
1, 11, 2, 349, 137

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

2 x 2 x 5 x 7 x 11 x 1 x 11 x 2 x 349 x 137 = 1619904440

Therefore, the lowest common multiple of 770,484,280,349,137 is 1619904440.

LCM Formula to Find Lowest Common Multiple of 770,484,280,349,137

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.

770 x 484 x 280 x 349 x 137 = 4989305675200

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

349 : 1, 349

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,484,280,349,137, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

484:2x 2x 11x 11

280:2x 2x 2x 5x 7

349:349

137:137

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 5x 7x 11 = 3080

Therefore, the value for common factors is 3080.

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 = 4989305675200/(1x3080)

LCM = 4989305675200/3080

LCM = 1619904440

Thus, we can understand that the LCM of 770,484,280,349,137 is 1619904440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 484, 280, 349, 137

1. What is the LCM of 770, 484, 280, 349, 137?

Answer: LCM of 770, 484, 280, 349, 137 is 1619904440.

2. How to calculate the LCM of 770, 484, 280, 349, 137?

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 770, 484, 280, 349, 137.

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}.