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LCM of 630, 373, 873, 437, 735

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


Find the LCM of 630, 373, 873, 437, 735 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 630, 373, 873, 437, 735. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,373,873,437,735

Given numbers are 630,373,873,437,735

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

The LCM of 630,373,873,437,735 is 69726937770.

Find LCM of 630,373,873,437,735 with Prime Factorization


3 630, 373, 873, 437, 735
3 210, 373, 291, 437, 245
5 70, 373, 97, 437, 245
7 14, 373, 97, 437, 49
2, 373, 97, 437, 7

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

3 x 3 x 5 x 7 x 2 x 373 x 97 x 437 x 7 = 69726937770

Therefore, the lowest common multiple of 630,373,873,437,735 is 69726937770.

LCM Formula to Find Lowest Common Multiple of 630,373,873,437,735

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.

630 x 373 x 873 x 437 x 735 = 65891956192650

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

373 : 1, 373

873 : 1, 3, 9, 97, 291, 873

437 : 1, 19, 23, 437

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,373,873,437,735, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

373:373

873:3x 3x 97

437:19x 23

735:3x 5x 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 3x 5x 7 = 945

Therefore, the value for common factors is 945.

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 = 65891956192650/(1x945)

LCM = 65891956192650/945

LCM = 69726937770

Thus, we can understand that the LCM of 630,373,873,437,735 is 69726937770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 373, 873, 437, 735

1. What is the LCM of 630, 373, 873, 437, 735?

Answer: LCM of 630, 373, 873, 437, 735 is 69726937770.

2. How to calculate the LCM of 630, 373, 873, 437, 735?

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 630, 373, 873, 437, 735.

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}.