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LCM of 932, 880, 420, 440

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


Find the LCM of 932, 880, 420, 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 932, 880, 420, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,880,420,440

Given numbers are 932,880,420,440

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

The LCM of 932,880,420,440 is 4305840.

Find LCM of 932,880,420,440 with Prime Factorization


2 932, 880, 420, 440
2 466, 440, 210, 220
2 233, 110, 105, 220
5 233, 55, 105, 110
11 233, 11, 21, 22
233, 1, 21, 2

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

2 x 2 x 2 x 5 x 11 x 233 x 1 x 21 x 2 = 4305840

Therefore, the lowest common multiple of 932,880,420,440 is 4305840.

LCM Formula to Find Lowest Common Multiple of 932,880,420,440

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.

932 x 880 x 420 x 440 = 151565568000

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.

932 : 1, 2, 4, 233, 466, 932

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,880,420,440, is 4.

Now, the common factors can be found like this.

932:2x 2x 233

880:2x 2x 2x 2x 5x 11

420:2x 2x 3x 5x 7

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 2x 5x 5x 11 = 8800

Therefore, the value for common factors is 8800.

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 = 151565568000/(4x8800)

LCM = 151565568000/35200

LCM = 4305840

Thus, we can understand that the LCM of 932,880,420,440 is 4305840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 880, 420, 440

1. What is the LCM of 932, 880, 420, 440?

Answer: LCM of 932, 880, 420, 440 is 4305840.

2. How to calculate the LCM of 932, 880, 420, 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 932, 880, 420, 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}.