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LCM of 770, 831, 474, 348, 492

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


Find the LCM of 770, 831, 474, 348, 492 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, 831, 474, 348, 492. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,831,474,348,492

Given numbers are 770,831,474,348,492

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

The LCM of 770,831,474,348,492 is 120207257940.

Find LCM of 770,831,474,348,492 with Prime Factorization


2 770, 831, 474, 348, 492
2 385, 831, 237, 174, 246
3 385, 831, 237, 87, 123
385, 277, 79, 29, 41

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

2 x 2 x 3 x 385 x 277 x 79 x 29 x 41 = 120207257940

Therefore, the lowest common multiple of 770,831,474,348,492 is 120207257940.

LCM Formula to Find Lowest Common Multiple of 770,831,474,348,492

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 831 x 474 x 348 x 492 = 51929535430080

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

831 : 1, 3, 277, 831

474 : 1, 2, 3, 6, 79, 158, 237, 474

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,831,474,348,492, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

831:3x 277

474:2x 3x 79

348:2x 2x 3x 29

492:2x 2x 3x 41

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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 51929535430080/(1x432)

LCM = 51929535430080/432

LCM = 120207257940

Thus, we can understand that the LCM of 770,831,474,348,492 is 120207257940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 831, 474, 348, 492

1. What is the LCM of 770, 831, 474, 348, 492?

Answer: LCM of 770, 831, 474, 348, 492 is 120207257940.

2. How to calculate the LCM of 770, 831, 474, 348, 492?

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, 831, 474, 348, 492.

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}.