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LCM of 712, 853, 822, 548

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


Find the LCM of 712, 853, 822, 548 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 712, 853, 822, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 712,853,822,548

Given numbers are 712,853,822,548

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

The LCM of 712,853,822,548 is 249615096.

Find LCM of 712,853,822,548 with Prime Factorization


2 712, 853, 822, 548
2 356, 853, 411, 274
137 178, 853, 411, 137
178, 853, 3, 1

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

2 x 2 x 137 x 178 x 853 x 3 x 1 = 249615096

Therefore, the lowest common multiple of 712,853,822,548 is 249615096.

LCM Formula to Find Lowest Common Multiple of 712,853,822,548

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.

712 x 853 x 822 x 548 = 273578145216

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.

712 : 1, 2, 4, 8, 89, 178, 356, 712

853 : 1, 853

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

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,853,822,548, is 1.

Now, the common factors can be found like this.

712:2x 2x 2x 89

853:853

822:2x 3x 137

548:2x 2x 137

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 137 = 1096

Therefore, the value for common factors is 1096.

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 = 273578145216/(1x1096)

LCM = 273578145216/1096

LCM = 249615096

Thus, we can understand that the LCM of 712,853,822,548 is 249615096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 712, 853, 822, 548

1. What is the LCM of 712, 853, 822, 548?

Answer: LCM of 712, 853, 822, 548 is 249615096.

2. How to calculate the LCM of 712, 853, 822, 548?

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 712, 853, 822, 548.

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}.