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LCM of 678, 911, 409, 791, 253

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


Find the LCM of 678, 911, 409, 791, 253 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 678, 911, 409, 791, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,911,409,791,253

Given numbers are 678,911,409,791,253

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

The LCM of 678,911,409,791,253 is 447393778062.

Find LCM of 678,911,409,791,253 with Prime Factorization


113 678, 911, 409, 791, 253
6, 911, 409, 7, 253

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

113 x 6 x 911 x 409 x 7 x 253 = 447393778062

Therefore, the lowest common multiple of 678,911,409,791,253 is 447393778062.

LCM Formula to Find Lowest Common Multiple of 678,911,409,791,253

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.

678 x 911 x 409 x 791 x 253 = 50555496921006

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

911 : 1, 911

409 : 1, 409

791 : 1, 7, 113, 791

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,911,409,791,253, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

911:911

409:409

791:7x 113

253:11x 23

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

113 = 113

Therefore, the value for common factors is 113.

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 = 50555496921006/(1x113)

LCM = 50555496921006/113

LCM = 447393778062

Thus, we can understand that the LCM of 678,911,409,791,253 is 447393778062.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 911, 409, 791, 253

1. What is the LCM of 678, 911, 409, 791, 253?

Answer: LCM of 678, 911, 409, 791, 253 is 447393778062.

2. How to calculate the LCM of 678, 911, 409, 791, 253?

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 678, 911, 409, 791, 253.

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}.