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LCM of 735, 437, 323, 676

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


Find the LCM of 735, 437, 323, 676 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, 437, 323, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,437,323,676

Given numbers are 735,437,323,676

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

The LCM of 735,437,323,676 is 3691172940.

Find LCM of 735,437,323,676 with Prime Factorization


19 735, 437, 323, 676
735, 23, 17, 676

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

19 x 735 x 23 x 17 x 676 = 3691172940

Therefore, the lowest common multiple of 735,437,323,676 is 3691172940.

LCM Formula to Find Lowest Common Multiple of 735,437,323,676

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 437 x 323 x 676 = 70132285860

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

437 : 1, 19, 23, 437

323 : 1, 17, 19, 323

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,437,323,676, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

437:19x 23

323:17x 19

676:2x 2x 13x 13

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

19 = 19

Therefore, the value for common factors is 19.

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 = 70132285860/(1x19)

LCM = 70132285860/19

LCM = 3691172940

Thus, we can understand that the LCM of 735,437,323,676 is 3691172940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 437, 323, 676

1. What is the LCM of 735, 437, 323, 676?

Answer: LCM of 735, 437, 323, 676 is 3691172940.

2. How to calculate the LCM of 735, 437, 323, 676?

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, 437, 323, 676.

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}.