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LCM of 735, 396, 475, 696, 937

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


Find the LCM of 735, 396, 475, 696, 937 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 735, 396, 475, 696, 937. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,396,475,696,937

Given numbers are 735,396,475,696,937

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

The LCM of 735,396,475,696,937 is 500901647400.

Find LCM of 735,396,475,696,937 with Prime Factorization


2 735, 396, 475, 696, 937
2 735, 198, 475, 348, 937
3 735, 99, 475, 174, 937
5 245, 33, 475, 58, 937
49, 33, 95, 58, 937

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

2 x 2 x 3 x 5 x 49 x 33 x 95 x 58 x 937 = 500901647400

Therefore, the lowest common multiple of 735,396,475,696,937 is 500901647400.

LCM Formula to Find Lowest Common Multiple of 735,396,475,696,937

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.

735 x 396 x 475 x 696 x 937 = 90162296532000

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.

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

475 : 1, 5, 19, 25, 95, 475

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

937 : 1, 937

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,396,475,696,937, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

396:2x 2x 3x 3x 11

475:5x 5x 19

696:2x 2x 2x 3x 29

937:937

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 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 90162296532000/(1x180)

LCM = 90162296532000/180

LCM = 500901647400

Thus, we can understand that the LCM of 735,396,475,696,937 is 500901647400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 396, 475, 696, 937

1. What is the LCM of 735, 396, 475, 696, 937?

Answer: LCM of 735, 396, 475, 696, 937 is 500901647400.

2. How to calculate the LCM of 735, 396, 475, 696, 937?

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 735, 396, 475, 696, 937.

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}.