What are the Factors of 78385920 ?

Factors of 78385920 are . There are integers that are factors of 78385920.

How to Find the LCM of 149, 256, 685, 960 ?

Least Common Multiple of 149, 256, 685, 960 = 78385920 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, 256, 685, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 137 x 149 = 78385920.

What are the Factors of 78385920 ?

Factors of 78385920 are . There are integers that are factors of 78385920.

How to Find the LCM of 149, 256, 685, 960 ?

Least Common Multiple of 149, 256, 685, 960 = 78385920 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, 256, 685, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 137 x 149 = 78385920.

LCM of 149, 256, 685, 960

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

Find the LCM of 149, 256, 685, 960 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, 256, 685, 960. So, keep reading to learn more.

Calculate the LCM of 149,256,685,960

Given numbers are 149,256,685,960

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

The LCM of 149,256,685,960 is 78385920.

Find LCM of 149,256,685,960 with Prime Factorization

2	149, 256, 685, 960
2	149, 128, 685, 480
2	149, 64, 685, 240
2	149, 32, 685, 120
2	149, 16, 685, 60
2	149, 8, 685, 30
5	149, 4, 685, 15
	149, 4, 137, 3

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

2 x 2 x 2 x 2 x 2 x 2 x 5 x 149 x 4 x 137 x 3 = 78385920

Therefore, the lowest common multiple of 149,256,685,960 is 78385920.

LCM Formula to Find Lowest Common Multiple of 149,256,685,960

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 256 x 685 x 960 = 25083494400

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

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

685 : 1, 5, 137, 685

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,256,685,960, is 1.

Now, the common factors can be found like this.

149:149

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

685:5x 137

960:2x 2x 2x 2x 2x 2x 3x 5

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 5 = 320

Therefore, the value for common factors is 320.

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 = 25083494400/(1x320)

LCM = 25083494400/320

LCM = 78385920

Thus, we can understand that the LCM of 149,256,685,960 is 78385920.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 149, 256, 685, 960

1. What is the LCM of 149, 256, 685, 960?

Answer: LCM of 149, 256, 685, 960 is 78385920.

2. How to calculate the LCM of 149, 256, 685, 960?

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, 256, 685, 960.

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}.