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LCM of 632, 652, 362, 440

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


Find the LCM of 632, 652, 362, 440 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 632, 652, 362, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 632,652,362,440

Given numbers are 632,652,362,440

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

The LCM of 632,652,362,440 is 1025524280.

Find LCM of 632,652,362,440 with Prime Factorization


2 632, 652, 362, 440
2 316, 326, 181, 220
2 158, 163, 181, 110
79, 163, 181, 55

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

2 x 2 x 2 x 79 x 163 x 181 x 55 = 1025524280

Therefore, the lowest common multiple of 632,652,362,440 is 1025524280.

LCM Formula to Find Lowest Common Multiple of 632,652,362,440

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.

632 x 652 x 362 x 440 = 65633553920

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.

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

652 : 1, 2, 4, 163, 326, 652

362 : 1, 2, 181, 362

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,652,362,440, is 2.

Now, the common factors can be found like this.

632:2x 2x 2x 79

652:2x 2x 163

362:2x 181

440:2x 2x 2x 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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 65633553920/(2x32)

LCM = 65633553920/64

LCM = 1025524280

Thus, we can understand that the LCM of 632,652,362,440 is 1025524280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 632, 652, 362, 440

1. What is the LCM of 632, 652, 362, 440?

Answer: LCM of 632, 652, 362, 440 is 1025524280.

2. How to calculate the LCM of 632, 652, 362, 440?

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 632, 652, 362, 440.

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}.