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LCM of 630, 121, 456, 594

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


Find the LCM of 630, 121, 456, 594 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, 121, 456, 594. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,121,456,594

Given numbers are 630,121,456,594

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

The LCM of 630,121,456,594 is 17380440.

Find LCM of 630,121,456,594 with Prime Factorization


2 630, 121, 456, 594
3 315, 121, 228, 297
3 105, 121, 76, 99
11 35, 121, 76, 33
35, 11, 76, 3

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

2 x 3 x 3 x 11 x 35 x 11 x 76 x 3 = 17380440

Therefore, the lowest common multiple of 630,121,456,594 is 17380440.

LCM Formula to Find Lowest Common Multiple of 630,121,456,594

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 121 x 456 x 594 = 20647962720

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

121 : 1, 11, 121

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,121,456,594, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

121:11x 11

456:2x 2x 2x 3x 19

594:2x 3x 3x 3x 11

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 3x 11 = 1188

Therefore, the value for common factors is 1188.

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 = 20647962720/(1x1188)

LCM = 20647962720/1188

LCM = 17380440

Thus, we can understand that the LCM of 630,121,456,594 is 17380440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 121, 456, 594

1. What is the LCM of 630, 121, 456, 594?

Answer: LCM of 630, 121, 456, 594 is 17380440.

2. How to calculate the LCM of 630, 121, 456, 594?

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, 121, 456, 594.

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}.