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LCM of 630, 544, 612, 962

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


Find the LCM of 630, 544, 612, 962 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, 544, 612, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,544,612,962

Given numbers are 630,544,612,962

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

The LCM of 630,544,612,962 is 82424160.

Find LCM of 630,544,612,962 with Prime Factorization


2 630, 544, 612, 962
2 315, 272, 306, 481
3 315, 136, 153, 481
3 105, 136, 51, 481
17 35, 136, 17, 481
35, 8, 1, 481

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

2 x 2 x 3 x 3 x 17 x 35 x 8 x 1 x 481 = 82424160

Therefore, the lowest common multiple of 630,544,612,962 is 82424160.

LCM Formula to Find Lowest Common Multiple of 630,544,612,962

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 544 x 612 x 962 = 201774343680

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

962 : 1, 2, 13, 26, 37, 74, 481, 962

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,544,612,962, is 2.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

544:2x 2x 2x 2x 2x 17

612:2x 2x 3x 3x 17

962:2x 13x 37

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 2x 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 201774343680/(2x1224)

LCM = 201774343680/2448

LCM = 82424160

Thus, we can understand that the LCM of 630,544,612,962 is 82424160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 544, 612, 962

1. What is the LCM of 630, 544, 612, 962?

Answer: LCM of 630, 544, 612, 962 is 82424160.

2. How to calculate the LCM of 630, 544, 612, 962?

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, 544, 612, 962.

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}.