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LCM of 255, 867, 735, 472

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


Find the LCM of 255, 867, 735, 472 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 255, 867, 735, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 255,867,735,472

Given numbers are 255,867,735,472

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

The LCM of 255,867,735,472 is 100259880.

Find LCM of 255,867,735,472 with Prime Factorization


3 255, 867, 735, 472
5 85, 289, 245, 472
17 17, 289, 49, 472
1, 17, 49, 472

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

3 x 5 x 17 x 1 x 17 x 49 x 472 = 100259880

Therefore, the lowest common multiple of 255,867,735,472 is 100259880.

LCM Formula to Find Lowest Common Multiple of 255,867,735,472

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.

255 x 867 x 735 x 472 = 76698808200

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.

255 : 1, 3, 5, 15, 17, 51, 85, 255

867 : 1, 3, 17, 51, 289, 867

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

472 : 1, 2, 4, 8, 59, 118, 236, 472

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,867,735,472, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

867:3x 17x 17

735:3x 5x 7x 7

472:2x 2x 2x 59

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

3x 3x 5x 17 = 765

Therefore, the value for common factors is 765.

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 = 76698808200/(1x765)

LCM = 76698808200/765

LCM = 100259880

Thus, we can understand that the LCM of 255,867,735,472 is 100259880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 255, 867, 735, 472

1. What is the LCM of 255, 867, 735, 472?

Answer: LCM of 255, 867, 735, 472 is 100259880.

2. How to calculate the LCM of 255, 867, 735, 472?

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 255, 867, 735, 472.

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}.