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LCM of 464, 881, 728, 518, 757

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


Find the LCM of 464, 881, 728, 518, 757 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 464, 881, 728, 518, 757. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,881,728,518,757

Given numbers are 464,881,728,518,757

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

The LCM of 464,881,728,518,757 is 1041916426096.

Find LCM of 464,881,728,518,757 with Prime Factorization


2 464, 881, 728, 518, 757
2 232, 881, 364, 259, 757
2 116, 881, 182, 259, 757
7 58, 881, 91, 259, 757
58, 881, 13, 37, 757

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

2 x 2 x 2 x 7 x 58 x 881 x 13 x 37 x 757 = 1041916426096

Therefore, the lowest common multiple of 464,881,728,518,757 is 1041916426096.

LCM Formula to Find Lowest Common Multiple of 464,881,728,518,757

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.

464 x 881 x 728 x 518 x 757 = 116694639722752

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.

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

881 : 1, 881

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,881,728,518,757, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

881:881

728:2x 2x 2x 7x 13

518:2x 7x 37

757:757

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 7 = 112

Therefore, the value for common factors is 112.

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 = 116694639722752/(1x112)

LCM = 116694639722752/112

LCM = 1041916426096

Thus, we can understand that the LCM of 464,881,728,518,757 is 1041916426096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 464, 881, 728, 518, 757

1. What is the LCM of 464, 881, 728, 518, 757?

Answer: LCM of 464, 881, 728, 518, 757 is 1041916426096.

2. How to calculate the LCM of 464, 881, 728, 518, 757?

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 464, 881, 728, 518, 757.

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}.