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LCM of 907, 242, 791, 492

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


Find the LCM of 907, 242, 791, 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 907, 242, 791, 492. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,242,791,492

Given numbers are 907,242,791,492

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

The LCM of 907,242,791,492 is 42710459484.

Find LCM of 907,242,791,492 with Prime Factorization


2 907, 242, 791, 492
907, 121, 791, 246

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

2 x 907 x 121 x 791 x 246 = 42710459484

Therefore, the lowest common multiple of 907,242,791,492 is 42710459484.

LCM Formula to Find Lowest Common Multiple of 907,242,791,492

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.

907 x 242 x 791 x 492 = 85420918968

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.

907 : 1, 907

242 : 1, 2, 11, 22, 121, 242

791 : 1, 7, 113, 791

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 907,242,791,492, is 1.

Now, the common factors can be found like this.

907:907

242:2x 11x 11

791:7x 113

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 85420918968/(1x2)

LCM = 85420918968/2

LCM = 42710459484

Thus, we can understand that the LCM of 907,242,791,492 is 42710459484.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 907, 242, 791, 492

1. What is the LCM of 907, 242, 791, 492?

Answer: LCM of 907, 242, 791, 492 is 42710459484.

2. How to calculate the LCM of 907, 242, 791, 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 907, 242, 791, 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}.