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LCM of 957, 237, 156, 224, 323

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


Find the LCM of 957, 237, 156, 224, 323 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, 237, 156, 224, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,237,156,224,323

Given numbers are 957,237,156,224,323

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

The LCM of 957,237,156,224,323 is 71110367328.

Find LCM of 957,237,156,224,323 with Prime Factorization


2 957, 237, 156, 224, 323
2 957, 237, 78, 112, 323
3 957, 237, 39, 56, 323
319, 79, 13, 56, 323

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

2 x 2 x 3 x 319 x 79 x 13 x 56 x 323 = 71110367328

Therefore, the lowest common multiple of 957,237,156,224,323 is 71110367328.

LCM Formula to Find Lowest Common Multiple of 957,237,156,224,323

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 237 x 156 x 224 x 323 = 2559973223808

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

237 : 1, 3, 79, 237

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,237,156,224,323, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

237:3x 79

156:2x 2x 3x 13

224:2x 2x 2x 2x 2x 7

323:17x 19

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 3 = 36

Therefore, the value for common factors is 36.

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 = 2559973223808/(1x36)

LCM = 2559973223808/36

LCM = 71110367328

Thus, we can understand that the LCM of 957,237,156,224,323 is 71110367328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 237, 156, 224, 323

1. What is the LCM of 957, 237, 156, 224, 323?

Answer: LCM of 957, 237, 156, 224, 323 is 71110367328.

2. How to calculate the LCM of 957, 237, 156, 224, 323?

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, 237, 156, 224, 323.

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}.