What are the Factors of 145920 ?

Factors of 145920 are . There are integers that are factors of 145920.

How to Find the LCM of 160, 128, 512, 456 ?

Least Common Multiple of 160, 128, 512, 456 = 145920 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(160, 128, 512, 456) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19 = 145920.

What are the Factors of 145920 ?

Factors of 145920 are . There are integers that are factors of 145920.

How to Find the LCM of 160, 128, 512, 456 ?

Least Common Multiple of 160, 128, 512, 456 = 145920 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(160, 128, 512, 456) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19 = 145920.

LCM of 160, 128, 512, 456

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

Find the LCM of 160, 128, 512, 456 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 160, 128, 512, 456. So, keep reading to learn more.

Calculate the LCM of 160,128,512,456

Given numbers are 160,128,512,456

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

The LCM of 160,128,512,456 is 145920.

Find LCM of 160,128,512,456 with Prime Factorization

2	160, 128, 512, 456
2	80, 64, 256, 228
2	40, 32, 128, 114
2	20, 16, 64, 57
2	10, 8, 32, 57
2	5, 4, 16, 57
2	5, 2, 8, 57
	5, 1, 4, 57

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 1 x 4 x 57 = 145920

Therefore, the lowest common multiple of 160,128,512,456 is 145920.

LCM Formula to Find Lowest Common Multiple of 160,128,512,456

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.

160 x 128 x 512 x 456 = 4781506560

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.

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,128,512,456, is 8.

Now, the common factors can be found like this.

160:2x 2x 2x 2x 2x 5

128:2x 2x 2x 2x 2x 2x 2

512:2x 2x 2x 2x 2x 2x 2x 2x 2

456:2x 2x 2x 3x 19

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 2x 2x 2x 2x 2x 2 = 4096

Therefore, the value for common factors is 4096.

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 = 4781506560/(8x4096)

LCM = 4781506560/32768

LCM = 145920

Thus, we can understand that the LCM of 160,128,512,456 is 145920.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 160, 128, 512, 456

1. What is the LCM of 160, 128, 512, 456?

Answer: LCM of 160, 128, 512, 456 is 145920.

2. How to calculate the LCM of 160, 128, 512, 456?

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 160, 128, 512, 456.

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}.