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LCM of 397, 754, 968, 493, 960

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


Find the LCM of 397, 754, 968, 493, 960 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 397, 754, 968, 493, 960. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,754,968,493,960

Given numbers are 397,754,968,493,960

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

The LCM of 397,754,968,493,960 is 295554367680.

Find LCM of 397,754,968,493,960 with Prime Factorization


2 397, 754, 968, 493, 960
2 397, 377, 484, 493, 480
2 397, 377, 242, 493, 240
29 397, 377, 121, 493, 120
397, 13, 121, 17, 120

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

2 x 2 x 2 x 29 x 397 x 13 x 121 x 17 x 120 = 295554367680

Therefore, the lowest common multiple of 397,754,968,493,960 is 295554367680.

LCM Formula to Find Lowest Common Multiple of 397,754,968,493,960

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.

397 x 754 x 968 x 493 x 960 = 137137226603520

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.

397 : 1, 397

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

493 : 1, 17, 29, 493

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,754,968,493,960, is 1.

Now, the common factors can be found like this.

397:397

754:2x 13x 29

968:2x 2x 2x 11x 11

493:17x 29

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

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 29 = 464

Therefore, the value for common factors is 464.

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 = 137137226603520/(1x464)

LCM = 137137226603520/464

LCM = 295554367680

Thus, we can understand that the LCM of 397,754,968,493,960 is 295554367680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 754, 968, 493, 960

1. What is the LCM of 397, 754, 968, 493, 960?

Answer: LCM of 397, 754, 968, 493, 960 is 295554367680.

2. How to calculate the LCM of 397, 754, 968, 493, 960?

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 397, 754, 968, 493, 960.

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}.