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LCM of 960, 842, 731, 476

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


Find the LCM of 960, 842, 731, 476 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 960, 842, 731, 476. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,842,731,476

Given numbers are 960,842,731,476

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

The LCM of 960,842,731,476 is 2068086720.

Find LCM of 960,842,731,476 with Prime Factorization


2 960, 842, 731, 476
2 480, 421, 731, 238
17 240, 421, 731, 119
240, 421, 43, 7

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

2 x 2 x 17 x 240 x 421 x 43 x 7 = 2068086720

Therefore, the lowest common multiple of 960,842,731,476 is 2068086720.

LCM Formula to Find Lowest Common Multiple of 960,842,731,476

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.

960 x 842 x 731 x 476 = 281259793920

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

842 : 1, 2, 421, 842

731 : 1, 17, 43, 731

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,842,731,476, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

842:2x 421

731:17x 43

476:2x 2x 7x 17

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 17 = 136

Therefore, the value for common factors is 136.

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 = 281259793920/(1x136)

LCM = 281259793920/136

LCM = 2068086720

Thus, we can understand that the LCM of 960,842,731,476 is 2068086720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 842, 731, 476

1. What is the LCM of 960, 842, 731, 476?

Answer: LCM of 960, 842, 731, 476 is 2068086720.

2. How to calculate the LCM of 960, 842, 731, 476?

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 960, 842, 731, 476.

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}.