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LCM of 868, 407, 942, 165

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


Find the LCM of 868, 407, 942, 165 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 868, 407, 942, 165. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 868,407,942,165

Given numbers are 868,407,942,165

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

The LCM of 868,407,942,165 is 831964980.

Find LCM of 868,407,942,165 with Prime Factorization


2 868, 407, 942, 165
3 434, 407, 471, 165
11 434, 407, 157, 55
434, 37, 157, 5

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

2 x 3 x 11 x 434 x 37 x 157 x 5 = 831964980

Therefore, the lowest common multiple of 868,407,942,165 is 831964980.

LCM Formula to Find Lowest Common Multiple of 868,407,942,165

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.

868 x 407 x 942 x 165 = 54909688680

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.

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

407 : 1, 11, 37, 407

942 : 1, 2, 3, 6, 157, 314, 471, 942

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,407,942,165, is 1.

Now, the common factors can be found like this.

868:2x 2x 7x 31

407:11x 37

942:2x 3x 157

165:3x 5x 11

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 11 = 66

Therefore, the value for common factors is 66.

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 = 54909688680/(1x66)

LCM = 54909688680/66

LCM = 831964980

Thus, we can understand that the LCM of 868,407,942,165 is 831964980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 868, 407, 942, 165

1. What is the LCM of 868, 407, 942, 165?

Answer: LCM of 868, 407, 942, 165 is 831964980.

2. How to calculate the LCM of 868, 407, 942, 165?

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 868, 407, 942, 165.

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}.