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LCM of 735, 754, 314, 368

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


Find the LCM of 735, 754, 314, 368 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, 754, 314, 368. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,754,314,368

Given numbers are 735,754,314,368

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

The LCM of 735,754,314,368 is 16009440720.

Find LCM of 735,754,314,368 with Prime Factorization


2 735, 754, 314, 368
735, 377, 157, 184

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

2 x 735 x 377 x 157 x 184 = 16009440720

Therefore, the lowest common multiple of 735,754,314,368 is 16009440720.

LCM Formula to Find Lowest Common Multiple of 735,754,314,368

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 754 x 314 x 368 = 64037762880

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

314 : 1, 2, 157, 314

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,754,314,368, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

754:2x 13x 29

314:2x 157

368:2x 2x 2x 2x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 64037762880/(1x4)

LCM = 64037762880/4

LCM = 16009440720

Thus, we can understand that the LCM of 735,754,314,368 is 16009440720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 754, 314, 368

1. What is the LCM of 735, 754, 314, 368?

Answer: LCM of 735, 754, 314, 368 is 16009440720.

2. How to calculate the LCM of 735, 754, 314, 368?

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, 754, 314, 368.

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}.