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LCM of 1, 877, 447, 264

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


Find the LCM of 1, 877, 447, 264 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 1, 877, 447, 264. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1,877,447,264

Given numbers are 1,877,447,264

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

The LCM of 1,877,447,264 is 34497672.

Find LCM of 1,877,447,264 with Prime Factorization


3 1, 877, 447, 264
1, 877, 149, 88

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

3 x 1 x 877 x 149 x 88 = 34497672

Therefore, the lowest common multiple of 1,877,447,264 is 34497672.

LCM Formula to Find Lowest Common Multiple of 1,877,447,264

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.

1 x 877 x 447 x 264 = 103493016

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.

1 : 1

877 : 1, 877

447 : 1, 3, 149, 447

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1,877,447,264, is 1.

Now, the common factors can be found like this.

1:

877:877

447:3x 149

264:2x 2x 2x 3x 11

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

3 = 3

Therefore, the value for common factors is 3.

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 = 103493016/(1x3)

LCM = 103493016/3

LCM = 34497672

Thus, we can understand that the LCM of 1,877,447,264 is 34497672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 1, 877, 447, 264

1. What is the LCM of 1, 877, 447, 264?

Answer: LCM of 1, 877, 447, 264 is 34497672.

2. How to calculate the LCM of 1, 877, 447, 264?

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 1, 877, 447, 264.

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}.