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LCM of 292, 314, 121, 791, 113

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


Find the LCM of 292, 314, 121, 791, 113 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 292, 314, 121, 791, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 292,314,121,791,113

Given numbers are 292,314,121,791,113

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

The LCM of 292,314,121,791,113 is 4387775084.

Find LCM of 292,314,121,791,113 with Prime Factorization


2 292, 314, 121, 791, 113
113 146, 157, 121, 791, 113
146, 157, 121, 7, 1

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

2 x 113 x 146 x 157 x 121 x 7 x 1 = 4387775084

Therefore, the lowest common multiple of 292,314,121,791,113 is 4387775084.

LCM Formula to Find Lowest Common Multiple of 292,314,121,791,113

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.

292 x 314 x 121 x 791 x 113 = 991637168984

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.

292 : 1, 2, 4, 73, 146, 292

314 : 1, 2, 157, 314

121 : 1, 11, 121

791 : 1, 7, 113, 791

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,314,121,791,113, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

314:2x 157

121:11x 11

791:7x 113

113:113

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

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 991637168984/(1x226)

LCM = 991637168984/226

LCM = 4387775084

Thus, we can understand that the LCM of 292,314,121,791,113 is 4387775084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 292, 314, 121, 791, 113

1. What is the LCM of 292, 314, 121, 791, 113?

Answer: LCM of 292, 314, 121, 791, 113 is 4387775084.

2. How to calculate the LCM of 292, 314, 121, 791, 113?

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 292, 314, 121, 791, 113.

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}.