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LCM of 830, 552, 207, 113

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


Find the LCM of 830, 552, 207, 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 830, 552, 207, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 830,552,207,113

Given numbers are 830,552,207,113

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

The LCM of 830,552,207,113 is 77658120.

Find LCM of 830,552,207,113 with Prime Factorization


2 830, 552, 207, 113
3 415, 276, 207, 113
23 415, 92, 69, 113
415, 4, 3, 113

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

2 x 3 x 23 x 415 x 4 x 3 x 113 = 77658120

Therefore, the lowest common multiple of 830,552,207,113 is 77658120.

LCM Formula to Find Lowest Common Multiple of 830,552,207,113

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.

830 x 552 x 207 x 113 = 10716820560

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

207 : 1, 3, 9, 23, 69, 207

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,552,207,113, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

552:2x 2x 2x 3x 23

207:3x 3x 23

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 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 10716820560/(1x138)

LCM = 10716820560/138

LCM = 77658120

Thus, we can understand that the LCM of 830,552,207,113 is 77658120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 830, 552, 207, 113

1. What is the LCM of 830, 552, 207, 113?

Answer: LCM of 830, 552, 207, 113 is 77658120.

2. How to calculate the LCM of 830, 552, 207, 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 830, 552, 207, 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}.