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LCM of 440, 770, 331, 528, 743

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


Find the LCM of 440, 770, 331, 528, 743 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 440, 770, 331, 528, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 440,770,331,528,743

Given numbers are 440,770,331,528,743

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

The LCM of 440,770,331,528,743 is 4544841840.

Find LCM of 440,770,331,528,743 with Prime Factorization


2 440, 770, 331, 528, 743
2 220, 385, 331, 264, 743
2 110, 385, 331, 132, 743
5 55, 385, 331, 66, 743
11 11, 77, 331, 66, 743
1, 7, 331, 6, 743

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

2 x 2 x 2 x 5 x 11 x 1 x 7 x 331 x 6 x 743 = 4544841840

Therefore, the lowest common multiple of 440,770,331,528,743 is 4544841840.

LCM Formula to Find Lowest Common Multiple of 440,770,331,528,743

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.

440 x 770 x 331 x 528 x 743 = 43994069011200

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.

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

331 : 1, 331

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,770,331,528,743, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

770:2x 5x 7x 11

331:331

528:2x 2x 2x 2x 3x 11

743:743

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 5x 11x 11 = 9680

Therefore, the value for common factors is 9680.

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 = 43994069011200/(1x9680)

LCM = 43994069011200/9680

LCM = 4544841840

Thus, we can understand that the LCM of 440,770,331,528,743 is 4544841840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 440, 770, 331, 528, 743

1. What is the LCM of 440, 770, 331, 528, 743?

Answer: LCM of 440, 770, 331, 528, 743 is 4544841840.

2. How to calculate the LCM of 440, 770, 331, 528, 743?

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 440, 770, 331, 528, 743.

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}.