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LCM of 910, 346, 730, 464

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


Find the LCM of 910, 346, 730, 464 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 910, 346, 730, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,346,730,464

Given numbers are 910,346,730,464

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

The LCM of 910,346,730,464 is 2666234480.

Find LCM of 910,346,730,464 with Prime Factorization


2 910, 346, 730, 464
5 455, 173, 365, 232
91, 173, 73, 232

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

2 x 5 x 91 x 173 x 73 x 232 = 2666234480

Therefore, the lowest common multiple of 910,346,730,464 is 2666234480.

LCM Formula to Find Lowest Common Multiple of 910,346,730,464

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.

910 x 346 x 730 x 464 = 106649379200

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

346 : 1, 2, 173, 346

730 : 1, 2, 5, 10, 73, 146, 365, 730

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,346,730,464, is 2.

Now, the common factors can be found like this.

910:2x 5x 7x 13

346:2x 173

730:2x 5x 73

464:2x 2x 2x 2x 29

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 5 = 20

Therefore, the value for common factors is 20.

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 = 106649379200/(2x20)

LCM = 106649379200/40

LCM = 2666234480

Thus, we can understand that the LCM of 910,346,730,464 is 2666234480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 346, 730, 464

1. What is the LCM of 910, 346, 730, 464?

Answer: LCM of 910, 346, 730, 464 is 2666234480.

2. How to calculate the LCM of 910, 346, 730, 464?

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 910, 346, 730, 464.

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}.