What are the Factors of 42547968 ?

Factors of 42547968 are . There are integers that are factors of 42547968.

How to Find the LCM of 288, 118, 313, 768 ?

Least Common Multiple of 288, 118, 313, 768 = 42547968 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(288, 118, 313, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 59 x 313 = 42547968.

What are the Factors of 42547968 ?

Factors of 42547968 are . There are integers that are factors of 42547968.

How to Find the LCM of 288, 118, 313, 768 ?

Least Common Multiple of 288, 118, 313, 768 = 42547968 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(288, 118, 313, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 59 x 313 = 42547968.

LCM of 288, 118, 313, 768

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

Find the LCM of 288, 118, 313, 768 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 288, 118, 313, 768. So, keep reading to learn more.

Calculate the LCM of 288,118,313,768

Given numbers are 288,118,313,768

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

The LCM of 288,118,313,768 is 42547968.

Find LCM of 288,118,313,768 with Prime Factorization

2	288, 118, 313, 768
2	144, 59, 313, 384
2	72, 59, 313, 192
2	36, 59, 313, 96
2	18, 59, 313, 48
3	9, 59, 313, 24
	3, 59, 313, 8

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 59 x 313 x 8 = 42547968

Therefore, the lowest common multiple of 288,118,313,768 is 42547968.

LCM Formula to Find Lowest Common Multiple of 288,118,313,768

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.

288 x 118 x 313 x 768 = 8169209856

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

118 : 1, 2, 59, 118

313 : 1, 313

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,118,313,768, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

118:2x 59

313:313

768:2x 2x 2x 2x 2x 2x 2x 2x 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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 8169209856/(1x192)

LCM = 8169209856/192

LCM = 42547968

Thus, we can understand that the LCM of 288,118,313,768 is 42547968.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 288, 118, 313, 768

1. What is the LCM of 288, 118, 313, 768?

Answer: LCM of 288, 118, 313, 768 is 42547968.

2. How to calculate the LCM of 288, 118, 313, 768?

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 288, 118, 313, 768.

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}.