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LCM of 860, 932, 102, 417

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


Find the LCM of 860, 932, 102, 417 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 860, 932, 102, 417. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 860,932,102,417

Given numbers are 860,932,102,417

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

The LCM of 860,932,102,417 is 1420493820.

Find LCM of 860,932,102,417 with Prime Factorization


2 860, 932, 102, 417
2 430, 466, 51, 417
3 215, 233, 51, 417
215, 233, 17, 139

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

2 x 2 x 3 x 215 x 233 x 17 x 139 = 1420493820

Therefore, the lowest common multiple of 860,932,102,417 is 1420493820.

LCM Formula to Find Lowest Common Multiple of 860,932,102,417

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.

860 x 932 x 102 x 417 = 34091851680

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

932 : 1, 2, 4, 233, 466, 932

102 : 1, 2, 3, 6, 17, 34, 51, 102

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,932,102,417, is 1.

Now, the common factors can be found like this.

860:2x 2x 5x 43

932:2x 2x 233

102:2x 3x 17

417:3x 139

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 34091851680/(1x24)

LCM = 34091851680/24

LCM = 1420493820

Thus, we can understand that the LCM of 860,932,102,417 is 1420493820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 860, 932, 102, 417

1. What is the LCM of 860, 932, 102, 417?

Answer: LCM of 860, 932, 102, 417 is 1420493820.

2. How to calculate the LCM of 860, 932, 102, 417?

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 860, 932, 102, 417.

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}.