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LCM of 474, 518, 632, 990

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


Find the LCM of 474, 518, 632, 990 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 474, 518, 632, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 474,518,632,990

Given numbers are 474,518,632,990

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

The LCM of 474,518,632,990 is 81025560.

Find LCM of 474,518,632,990 with Prime Factorization


2 474, 518, 632, 990
3 237, 259, 316, 495
79 79, 259, 316, 165
1, 259, 4, 165

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

2 x 3 x 79 x 1 x 259 x 4 x 165 = 81025560

Therefore, the lowest common multiple of 474,518,632,990 is 81025560.

LCM Formula to Find Lowest Common Multiple of 474,518,632,990

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.

474 x 518 x 632 x 990 = 153624461760

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

518 : 1, 2, 7, 14, 37, 74, 259, 518

632 : 1, 2, 4, 8, 79, 158, 316, 632

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,518,632,990, is 2.

Now, the common factors can be found like this.

474:2x 3x 79

518:2x 7x 37

632:2x 2x 2x 79

990:2x 3x 3x 5x 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 79 = 948

Therefore, the value for common factors is 948.

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 = 153624461760/(2x948)

LCM = 153624461760/1896

LCM = 81025560

Thus, we can understand that the LCM of 474,518,632,990 is 81025560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 474, 518, 632, 990

1. What is the LCM of 474, 518, 632, 990?

Answer: LCM of 474, 518, 632, 990 is 81025560.

2. How to calculate the LCM of 474, 518, 632, 990?

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 474, 518, 632, 990.

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}.