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LCM of 910, 654, 135, 260

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


Find the LCM of 910, 654, 135, 260 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, 654, 135, 260. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,654,135,260

Given numbers are 910,654,135,260

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

The LCM of 910,654,135,260 is 5356260.

Find LCM of 910,654,135,260 with Prime Factorization


2 910, 654, 135, 260
3 455, 327, 135, 130
5 455, 109, 45, 130
13 91, 109, 9, 26
7, 109, 9, 2

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

2 x 3 x 5 x 13 x 7 x 109 x 9 x 2 = 5356260

Therefore, the lowest common multiple of 910,654,135,260 is 5356260.

LCM Formula to Find Lowest Common Multiple of 910,654,135,260

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 654 x 135 x 260 = 20889414000

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

135 : 1, 3, 5, 9, 15, 27, 45, 135

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,654,135,260, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

654:2x 3x 109

135:3x 3x 3x 5

260:2x 2x 5x 13

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 3x 5x 5x 13 = 3900

Therefore, the value for common factors is 3900.

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 = 20889414000/(1x3900)

LCM = 20889414000/3900

LCM = 5356260

Thus, we can understand that the LCM of 910,654,135,260 is 5356260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 654, 135, 260

1. What is the LCM of 910, 654, 135, 260?

Answer: LCM of 910, 654, 135, 260 is 5356260.

2. How to calculate the LCM of 910, 654, 135, 260?

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, 654, 135, 260.

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}.