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LCM of 960, 949, 722, 438

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


Find the LCM of 960, 949, 722, 438 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, 949, 722, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,949,722,438

Given numbers are 960,949,722,438

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

The LCM of 960,949,722,438 is 328885440.

Find LCM of 960,949,722,438 with Prime Factorization


2 960, 949, 722, 438
3 480, 949, 361, 219
73 160, 949, 361, 73
160, 13, 361, 1

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

2 x 3 x 73 x 160 x 13 x 361 x 1 = 328885440

Therefore, the lowest common multiple of 960,949,722,438 is 328885440.

LCM Formula to Find Lowest Common Multiple of 960,949,722,438

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 949 x 722 x 438 = 288103645440

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

949 : 1, 13, 73, 949

722 : 1, 2, 19, 38, 361, 722

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,949,722,438, is 1.

Now, the common factors can be found like this.

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

949:13x 73

722:2x 19x 19

438:2x 3x 73

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 3x 73 = 876

Therefore, the value for common factors is 876.

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 = 288103645440/(1x876)

LCM = 288103645440/876

LCM = 328885440

Thus, we can understand that the LCM of 960,949,722,438 is 328885440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 949, 722, 438

1. What is the LCM of 960, 949, 722, 438?

Answer: LCM of 960, 949, 722, 438 is 328885440.

2. How to calculate the LCM of 960, 949, 722, 438?

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, 949, 722, 438.

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}.