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LCM of 710, 254, 665, 323

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


Find the LCM of 710, 254, 665, 323 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, 254, 665, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 710,254,665,323

Given numbers are 710,254,665,323

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

The LCM of 710,254,665,323 is 203874370.

Find LCM of 710,254,665,323 with Prime Factorization


2 710, 254, 665, 323
5 355, 127, 665, 323
19 71, 127, 133, 323
71, 127, 7, 17

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

2 x 5 x 19 x 71 x 127 x 7 x 17 = 203874370

Therefore, the lowest common multiple of 710,254,665,323 is 203874370.

LCM Formula to Find Lowest Common Multiple of 710,254,665,323

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 254 x 665 x 323 = 38736130300

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

254 : 1, 2, 127, 254

665 : 1, 5, 7, 19, 35, 95, 133, 665

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,254,665,323, is 1.

Now, the common factors can be found like this.

710:2x 5x 71

254:2x 127

665:5x 7x 19

323:17x 19

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

2x 5x 19 = 190

Therefore, the value for common factors is 190.

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 = 38736130300/(1x190)

LCM = 38736130300/190

LCM = 203874370

Thus, we can understand that the LCM of 710,254,665,323 is 203874370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 710, 254, 665, 323

1. What is the LCM of 710, 254, 665, 323?

Answer: LCM of 710, 254, 665, 323 is 203874370.

2. How to calculate the LCM of 710, 254, 665, 323?

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, 254, 665, 323.

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}.