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LCM of 949, 565, 397, 442

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


Find the LCM of 949, 565, 397, 442 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 949, 565, 397, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,565,397,442

Given numbers are 949,565,397,442

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

The LCM of 949,565,397,442 is 7237425130.

Find LCM of 949,565,397,442 with Prime Factorization


13 949, 565, 397, 442
73, 565, 397, 34

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

13 x 73 x 565 x 397 x 34 = 7237425130

Therefore, the lowest common multiple of 949,565,397,442 is 7237425130.

LCM Formula to Find Lowest Common Multiple of 949,565,397,442

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.

949 x 565 x 397 x 442 = 94086526690

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.

949 : 1, 13, 73, 949

565 : 1, 5, 113, 565

397 : 1, 397

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,565,397,442, is 1.

Now, the common factors can be found like this.

949:13x 73

565:5x 113

397:397

442:2x 13x 17

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

13 = 13

Therefore, the value for common factors is 13.

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 = 94086526690/(1x13)

LCM = 94086526690/13

LCM = 7237425130

Thus, we can understand that the LCM of 949,565,397,442 is 7237425130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 565, 397, 442

1. What is the LCM of 949, 565, 397, 442?

Answer: LCM of 949, 565, 397, 442 is 7237425130.

2. How to calculate the LCM of 949, 565, 397, 442?

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 949, 565, 397, 442.

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}.