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LCM of 735, 795, 565, 295, 635

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


Find the LCM of 735, 795, 565, 295, 635 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, 795, 565, 295, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,795,565,295,635

Given numbers are 735,795,565,295,635

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

The LCM of 735,795,565,295,635 is 32983549095.

Find LCM of 735,795,565,295,635 with Prime Factorization


3 735, 795, 565, 295, 635
5 245, 265, 565, 295, 635
49, 53, 113, 59, 127

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

3 x 5 x 49 x 53 x 113 x 59 x 127 = 32983549095

Therefore, the lowest common multiple of 735,795,565,295,635 is 32983549095.

LCM Formula to Find Lowest Common Multiple of 735,795,565,295,635

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 795 x 565 x 295 x 635 = 61844154553125

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

795 : 1, 3, 5, 15, 53, 159, 265, 795

565 : 1, 5, 113, 565

295 : 1, 5, 59, 295

635 : 1, 5, 127, 635

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,795,565,295,635, is 5.

Now, the common factors can be found like this.

735:3x 5x 7x 7

795:3x 5x 53

565:5x 113

295:5x 59

635:5x 127

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

3x 5x 5x 5 = 375

Therefore, the value for common factors is 375.

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 = 61844154553125/(5x375)

LCM = 61844154553125/1875

LCM = 32983549095

Thus, we can understand that the LCM of 735,795,565,295,635 is 32983549095.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 795, 565, 295, 635

1. What is the LCM of 735, 795, 565, 295, 635?

Answer: LCM of 735, 795, 565, 295, 635 is 32983549095.

2. How to calculate the LCM of 735, 795, 565, 295, 635?

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, 795, 565, 295, 635.

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}.