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LCM of 960, 392, 260, 754

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


Find the LCM of 960, 392, 260, 754 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, 392, 260, 754. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,392,260,754

Given numbers are 960,392,260,754

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

The LCM of 960,392,260,754 is 17734080.

Find LCM of 960,392,260,754 with Prime Factorization


2 960, 392, 260, 754
2 480, 196, 130, 377
2 240, 98, 65, 377
5 120, 49, 65, 377
13 24, 49, 13, 377
24, 49, 1, 29

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

2 x 2 x 2 x 5 x 13 x 24 x 49 x 1 x 29 = 17734080

Therefore, the lowest common multiple of 960,392,260,754 is 17734080.

LCM Formula to Find Lowest Common Multiple of 960,392,260,754

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 392 x 260 x 754 = 73773772800

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

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

754 : 1, 2, 13, 26, 29, 58, 377, 754

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,392,260,754, is 2.

Now, the common factors can be found like this.

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

392:2x 2x 2x 7x 7

260:2x 2x 5x 13

754:2x 13x 29

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 2x 2x 5x 13 = 2080

Therefore, the value for common factors is 2080.

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 = 73773772800/(2x2080)

LCM = 73773772800/4160

LCM = 17734080

Thus, we can understand that the LCM of 960,392,260,754 is 17734080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 392, 260, 754

1. What is the LCM of 960, 392, 260, 754?

Answer: LCM of 960, 392, 260, 754 is 17734080.

2. How to calculate the LCM of 960, 392, 260, 754?

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, 392, 260, 754.

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}.