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LCM of 672, 105, 822, 220

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


Find the LCM of 672, 105, 822, 220 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 672, 105, 822, 220. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,105,822,220

Given numbers are 672,105,822,220

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

The LCM of 672,105,822,220 is 5063520.

Find LCM of 672,105,822,220 with Prime Factorization


2 672, 105, 822, 220
2 336, 105, 411, 110
3 168, 105, 411, 55
5 56, 35, 137, 55
7 56, 7, 137, 11
8, 1, 137, 11

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

2 x 2 x 3 x 5 x 7 x 8 x 1 x 137 x 11 = 5063520

Therefore, the lowest common multiple of 672,105,822,220 is 5063520.

LCM Formula to Find Lowest Common Multiple of 672,105,822,220

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.

672 x 105 x 822 x 220 = 12760070400

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.

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

105 : 1, 3, 5, 7, 15, 21, 35, 105

822 : 1, 2, 3, 6, 137, 274, 411, 822

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,105,822,220, is 1.

Now, the common factors can be found like this.

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

105:3x 5x 7

822:2x 3x 137

220:2x 2x 5x 11

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 3x 3x 5x 7 = 2520

Therefore, the value for common factors is 2520.

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 = 12760070400/(1x2520)

LCM = 12760070400/2520

LCM = 5063520

Thus, we can understand that the LCM of 672,105,822,220 is 5063520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 105, 822, 220

1. What is the LCM of 672, 105, 822, 220?

Answer: LCM of 672, 105, 822, 220 is 5063520.

2. How to calculate the LCM of 672, 105, 822, 220?

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 672, 105, 822, 220.

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}.