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LCM of 710, 806, 390, 748, 385

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


Find the LCM of 710, 806, 390, 748, 385 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 710, 806, 390, 748, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 710,806,390,748,385

Given numbers are 710,806,390,748,385

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

The LCM of 710,806,390,748,385 is 2247265020.

Find LCM of 710,806,390,748,385 with Prime Factorization


2 710, 806, 390, 748, 385
5 355, 403, 195, 374, 385
11 71, 403, 39, 374, 77
13 71, 403, 39, 34, 7
71, 31, 3, 34, 7

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

2 x 5 x 11 x 13 x 71 x 31 x 3 x 34 x 7 = 2247265020

Therefore, the lowest common multiple of 710,806,390,748,385 is 2247265020.

LCM Formula to Find Lowest Common Multiple of 710,806,390,748,385

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.

710 x 806 x 390 x 748 x 385 = 64271779572000

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.

710 : 1, 2, 5, 10, 71, 142, 355, 710

806 : 1, 2, 13, 26, 31, 62, 403, 806

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,806,390,748,385, is 1.

Now, the common factors can be found like this.

710:2x 5x 71

806:2x 13x 31

390:2x 3x 5x 13

748:2x 2x 11x 17

385:5x 7x 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 5x 5x 11x 13 = 28600

Therefore, the value for common factors is 28600.

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 = 64271779572000/(1x28600)

LCM = 64271779572000/28600

LCM = 2247265020

Thus, we can understand that the LCM of 710,806,390,748,385 is 2247265020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 710, 806, 390, 748, 385

1. What is the LCM of 710, 806, 390, 748, 385?

Answer: LCM of 710, 806, 390, 748, 385 is 2247265020.

2. How to calculate the LCM of 710, 806, 390, 748, 385?

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 710, 806, 390, 748, 385.

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}.