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LCM of 761, 678, 797, 113

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


Find the LCM of 761, 678, 797, 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 761, 678, 797, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 761,678,797,113

Given numbers are 761,678,797,113

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

The LCM of 761,678,797,113 is 411218526.

Find LCM of 761,678,797,113 with Prime Factorization


113 761, 678, 797, 113
761, 6, 797, 1

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

113 x 761 x 6 x 797 x 1 = 411218526

Therefore, the lowest common multiple of 761,678,797,113 is 411218526.

LCM Formula to Find Lowest Common Multiple of 761,678,797,113

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.

761 x 678 x 797 x 113 = 46467693438

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.

761 : 1, 761

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

797 : 1, 797

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,678,797,113, is 1.

Now, the common factors can be found like this.

761:761

678:2x 3x 113

797:797

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.

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 = 46467693438/(1x113)

LCM = 46467693438/113

LCM = 411218526

Thus, we can understand that the LCM of 761,678,797,113 is 411218526.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 761, 678, 797, 113

1. What is the LCM of 761, 678, 797, 113?

Answer: LCM of 761, 678, 797, 113 is 411218526.

2. How to calculate the LCM of 761, 678, 797, 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 761, 678, 797, 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}.