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LCM of 307, 544, 539, 961, 144

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


Find the LCM of 307, 544, 539, 961, 144 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 307, 544, 539, 961, 144. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 307,544,539,961,144

Given numbers are 307,544,539,961,144

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

The LCM of 307,544,539,961,144 is 778559731488.

Find LCM of 307,544,539,961,144 with Prime Factorization


2 307, 544, 539, 961, 144
2 307, 272, 539, 961, 72
2 307, 136, 539, 961, 36
2 307, 68, 539, 961, 18
307, 34, 539, 961, 9

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

2 x 2 x 2 x 2 x 307 x 34 x 539 x 961 x 9 = 778559731488

Therefore, the lowest common multiple of 307,544,539,961,144 is 778559731488.

LCM Formula to Find Lowest Common Multiple of 307,544,539,961,144

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.

307 x 544 x 539 x 961 x 144 = 12456955703808

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.

307 : 1, 307

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

539 : 1, 7, 11, 49, 77, 539

961 : 1, 31, 961

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,544,539,961,144, is 1.

Now, the common factors can be found like this.

307:307

544:2x 2x 2x 2x 2x 17

539:7x 7x 11

961:31x 31

144:2x 2x 2x 2x 3x 3

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 2 = 16

Therefore, the value for common factors is 16.

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 = 12456955703808/(1x16)

LCM = 12456955703808/16

LCM = 778559731488

Thus, we can understand that the LCM of 307,544,539,961,144 is 778559731488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 307, 544, 539, 961, 144

1. What is the LCM of 307, 544, 539, 961, 144?

Answer: LCM of 307, 544, 539, 961, 144 is 778559731488.

2. How to calculate the LCM of 307, 544, 539, 961, 144?

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 307, 544, 539, 961, 144.

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}.