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LCM of 464, 551, 638, 723

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


Find the LCM of 464, 551, 638, 723 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, 551, 638, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,551,638,723

Given numbers are 464,551,638,723

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

The LCM of 464,551,638,723 is 70113648.

Find LCM of 464,551,638,723 with Prime Factorization


2 464, 551, 638, 723
29 232, 551, 319, 723
8, 19, 11, 723

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

2 x 29 x 8 x 19 x 11 x 723 = 70113648

Therefore, the lowest common multiple of 464,551,638,723 is 70113648.

LCM Formula to Find Lowest Common Multiple of 464,551,638,723

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 551 x 638 x 723 = 117931155936

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

551 : 1, 19, 29, 551

638 : 1, 2, 11, 22, 29, 58, 319, 638

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,551,638,723, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

551:19x 29

638:2x 11x 29

723:3x 241

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 29x 29 = 1682

Therefore, the value for common factors is 1682.

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 = 117931155936/(1x1682)

LCM = 117931155936/1682

LCM = 70113648

Thus, we can understand that the LCM of 464,551,638,723 is 70113648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 464, 551, 638, 723

1. What is the LCM of 464, 551, 638, 723?

Answer: LCM of 464, 551, 638, 723 is 70113648.

2. How to calculate the LCM of 464, 551, 638, 723?

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, 551, 638, 723.

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}.