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LCM of 391, 377, 528, 484, 702

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


Find the LCM of 391, 377, 528, 484, 702 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 391, 377, 528, 484, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,377,528,484,702

Given numbers are 391,377,528,484,702

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

The LCM of 391,377,528,484,702 is 7705258704.

Find LCM of 391,377,528,484,702 with Prime Factorization


2 391, 377, 528, 484, 702
2 391, 377, 264, 242, 351
3 391, 377, 132, 121, 351
11 391, 377, 44, 121, 117
13 391, 377, 4, 11, 117
391, 29, 4, 11, 9

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

2 x 2 x 3 x 11 x 13 x 391 x 29 x 4 x 11 x 9 = 7705258704

Therefore, the lowest common multiple of 391,377,528,484,702 is 7705258704.

LCM Formula to Find Lowest Common Multiple of 391,377,528,484,702

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.

391 x 377 x 528 x 484 x 702 = 26444447872128

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.

391 : 1, 17, 23, 391

377 : 1, 13, 29, 377

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,377,528,484,702, is 1.

Now, the common factors can be found like this.

391:17x 23

377:13x 29

528:2x 2x 2x 2x 3x 11

484:2x 2x 11x 11

702:2x 3x 3x 3x 13

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 3x 11x 13 = 3432

Therefore, the value for common factors is 3432.

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 = 26444447872128/(1x3432)

LCM = 26444447872128/3432

LCM = 7705258704

Thus, we can understand that the LCM of 391,377,528,484,702 is 7705258704.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 377, 528, 484, 702

1. What is the LCM of 391, 377, 528, 484, 702?

Answer: LCM of 391, 377, 528, 484, 702 is 7705258704.

2. How to calculate the LCM of 391, 377, 528, 484, 702?

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 391, 377, 528, 484, 702.

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}.