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LCM of 630, 502, 768, 783

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


Find the LCM of 630, 502, 768, 783 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, 502, 768, 783. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,502,768,783

Given numbers are 630,502,768,783

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

The LCM of 630,502,768,783 is 1760935680.

Find LCM of 630,502,768,783 with Prime Factorization


2 630, 502, 768, 783
3 315, 251, 384, 783
3 105, 251, 128, 261
35, 251, 128, 87

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

2 x 3 x 3 x 35 x 251 x 128 x 87 = 1760935680

Therefore, the lowest common multiple of 630,502,768,783 is 1760935680.

LCM Formula to Find Lowest Common Multiple of 630,502,768,783

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 502 x 768 x 783 = 190181053440

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

502 : 1, 2, 251, 502

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

783 : 1, 3, 9, 27, 29, 87, 261, 783

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,502,768,783, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

502:2x 251

768:2x 2x 2x 2x 2x 2x 2x 2x 3

783:3x 3x 3x 29

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 3 = 108

Therefore, the value for common factors is 108.

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 = 190181053440/(1x108)

LCM = 190181053440/108

LCM = 1760935680

Thus, we can understand that the LCM of 630,502,768,783 is 1760935680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 502, 768, 783

1. What is the LCM of 630, 502, 768, 783?

Answer: LCM of 630, 502, 768, 783 is 1760935680.

2. How to calculate the LCM of 630, 502, 768, 783?

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, 502, 768, 783.

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}.