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LCM of 928, 632, 964, 472

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


Find the LCM of 928, 632, 964, 472 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 928, 632, 964, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 928,632,964,472

Given numbers are 928,632,964,472

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

The LCM of 928,632,964,472 is 1042423328.

Find LCM of 928,632,964,472 with Prime Factorization


2 928, 632, 964, 472
2 464, 316, 482, 236
2 232, 158, 241, 118
116, 79, 241, 59

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

2 x 2 x 2 x 116 x 79 x 241 x 59 = 1042423328

Therefore, the lowest common multiple of 928,632,964,472 is 1042423328.

LCM Formula to Find Lowest Common Multiple of 928,632,964,472

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.

928 x 632 x 964 x 472 = 266860371968

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

964 : 1, 2, 4, 241, 482, 964

472 : 1, 2, 4, 8, 59, 118, 236, 472

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,632,964,472, is 4.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

632:2x 2x 2x 79

964:2x 2x 241

472:2x 2x 2x 59

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 2 = 64

Therefore, the value for common factors is 64.

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 = 266860371968/(4x64)

LCM = 266860371968/256

LCM = 1042423328

Thus, we can understand that the LCM of 928,632,964,472 is 1042423328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 928, 632, 964, 472

1. What is the LCM of 928, 632, 964, 472?

Answer: LCM of 928, 632, 964, 472 is 1042423328.

2. How to calculate the LCM of 928, 632, 964, 472?

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 928, 632, 964, 472.

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}.