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LCM of 957, 224, 735, 147

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


Find the LCM of 957, 224, 735, 147 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, 224, 735, 147. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,224,735,147

Given numbers are 957,224,735,147

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

The LCM of 957,224,735,147 is 7502880.

Find LCM of 957,224,735,147 with Prime Factorization


3 957, 224, 735, 147
7 319, 224, 245, 49
7 319, 32, 35, 7
319, 32, 5, 1

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

3 x 7 x 7 x 319 x 32 x 5 x 1 = 7502880

Therefore, the lowest common multiple of 957,224,735,147 is 7502880.

LCM Formula to Find Lowest Common Multiple of 957,224,735,147

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 224 x 735 x 147 = 23161390560

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

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

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,224,735,147, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

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

735:3x 5x 7x 7

147:3x 7x 7

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

3x 3x 7x 7x 7 = 3087

Therefore, the value for common factors is 3087.

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 = 23161390560/(1x3087)

LCM = 23161390560/3087

LCM = 7502880

Thus, we can understand that the LCM of 957,224,735,147 is 7502880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 224, 735, 147

1. What is the LCM of 957, 224, 735, 147?

Answer: LCM of 957, 224, 735, 147 is 7502880.

2. How to calculate the LCM of 957, 224, 735, 147?

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, 224, 735, 147.

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}.