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LCM of 957, 266, 912, 480

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


Find the LCM of 957, 266, 912, 480 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 957, 266, 912, 480. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,266,912,480

Given numbers are 957,266,912,480

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

The LCM of 957,266,912,480 is 20364960.

Find LCM of 957,266,912,480 with Prime Factorization


2 957, 266, 912, 480
2 957, 133, 456, 240
2 957, 133, 228, 120
2 957, 133, 114, 60
3 957, 133, 57, 30
19 319, 133, 19, 10
319, 7, 1, 10

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

2 x 2 x 2 x 2 x 3 x 19 x 319 x 7 x 1 x 10 = 20364960

Therefore, the lowest common multiple of 957,266,912,480 is 20364960.

LCM Formula to Find Lowest Common Multiple of 957,266,912,480

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.

957 x 266 x 912 x 480 = 111437061120

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

266 : 1, 2, 7, 14, 19, 38, 133, 266

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,266,912,480, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

266:2x 7x 19

912:2x 2x 2x 2x 3x 19

480:2x 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 2x 3x 3x 19 = 5472

Therefore, the value for common factors is 5472.

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 = 111437061120/(1x5472)

LCM = 111437061120/5472

LCM = 20364960

Thus, we can understand that the LCM of 957,266,912,480 is 20364960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 266, 912, 480

1. What is the LCM of 957, 266, 912, 480?

Answer: LCM of 957, 266, 912, 480 is 20364960.

2. How to calculate the LCM of 957, 266, 912, 480?

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 957, 266, 912, 480.

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}.