What are the Factors of 13617408 ?

Factors of 13617408 are . There are integers that are factors of 13617408.

How to Find the LCM of 149, 272, 256, 714 ?

Least Common Multiple of 149, 272, 256, 714 = 13617408 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(149, 272, 256, 714) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 149 = 13617408.

What are the Factors of 13617408 ?

Factors of 13617408 are . There are integers that are factors of 13617408.

How to Find the LCM of 149, 272, 256, 714 ?

Least Common Multiple of 149, 272, 256, 714 = 13617408 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(149, 272, 256, 714) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 149 = 13617408.

LCM of 149, 272, 256, 714

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

Find the LCM of 149, 272, 256, 714 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 149, 272, 256, 714. So, keep reading to learn more.

Calculate the LCM of 149,272,256,714

Given numbers are 149,272,256,714

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

The LCM of 149,272,256,714 is 13617408.

Find LCM of 149,272,256,714 with Prime Factorization

2	149, 272, 256, 714
2	149, 136, 128, 357
2	149, 68, 64, 357
2	149, 34, 32, 357
17	149, 17, 16, 357
	149, 1, 16, 21

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

2 x 2 x 2 x 2 x 17 x 149 x 1 x 16 x 21 = 13617408

Therefore, the lowest common multiple of 149,272,256,714 is 13617408.

LCM Formula to Find Lowest Common Multiple of 149,272,256,714

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.

149 x 272 x 256 x 714 = 7407869952

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.

149 : 1, 149

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,272,256,714, is 1.

Now, the common factors can be found like this.

149:149

272:2x 2x 2x 2x 17

256:2x 2x 2x 2x 2x 2x 2x 2

714:2x 3x 7x 17

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 2x 2x 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 7407869952/(1x544)

LCM = 7407869952/544

LCM = 13617408

Thus, we can understand that the LCM of 149,272,256,714 is 13617408.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 149, 272, 256, 714

1. What is the LCM of 149, 272, 256, 714?

Answer: LCM of 149, 272, 256, 714 is 13617408.

2. How to calculate the LCM of 149, 272, 256, 714?

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 149, 272, 256, 714.

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}.