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LCM of 485, 115, 346, 672

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


Find the LCM of 485, 115, 346, 672 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 485, 115, 346, 672. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 485,115,346,672

Given numbers are 485,115,346,672

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

The LCM of 485,115,346,672 is 1296835680.

Find LCM of 485,115,346,672 with Prime Factorization


2 485, 115, 346, 672
5 485, 115, 173, 336
97, 23, 173, 336

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

2 x 5 x 97 x 23 x 173 x 336 = 1296835680

Therefore, the lowest common multiple of 485,115,346,672 is 1296835680.

LCM Formula to Find Lowest Common Multiple of 485,115,346,672

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.

485 x 115 x 346 x 672 = 12968356800

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.

485 : 1, 5, 97, 485

115 : 1, 5, 23, 115

346 : 1, 2, 173, 346

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,115,346,672, is 1.

Now, the common factors can be found like this.

485:5x 97

115:5x 23

346:2x 173

672:2x 2x 2x 2x 2x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 12968356800/(1x10)

LCM = 12968356800/10

LCM = 1296835680

Thus, we can understand that the LCM of 485,115,346,672 is 1296835680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 485, 115, 346, 672

1. What is the LCM of 485, 115, 346, 672?

Answer: LCM of 485, 115, 346, 672 is 1296835680.

2. How to calculate the LCM of 485, 115, 346, 672?

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 485, 115, 346, 672.

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}.