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LCM of 698, 922, 784, 679

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


Find the LCM of 698, 922, 784, 679 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 698, 922, 784, 679. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 698,922,784,679

Given numbers are 698,922,784,679

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

The LCM of 698,922,784,679 is 12235286672.

Find LCM of 698,922,784,679 with Prime Factorization


2 698, 922, 784, 679
7 349, 461, 392, 679
349, 461, 56, 97

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

2 x 7 x 349 x 461 x 56 x 97 = 12235286672

Therefore, the lowest common multiple of 698,922,784,679 is 12235286672.

LCM Formula to Find Lowest Common Multiple of 698,922,784,679

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.

698 x 922 x 784 x 679 = 342588026816

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.

698 : 1, 2, 349, 698

922 : 1, 2, 461, 922

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,922,784,679, is 1.

Now, the common factors can be found like this.

698:2x 349

922:2x 461

784:2x 2x 2x 2x 7x 7

679:7x 97

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 7 = 28

Therefore, the value for common factors is 28.

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 = 342588026816/(1x28)

LCM = 342588026816/28

LCM = 12235286672

Thus, we can understand that the LCM of 698,922,784,679 is 12235286672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 698, 922, 784, 679

1. What is the LCM of 698, 922, 784, 679?

Answer: LCM of 698, 922, 784, 679 is 12235286672.

2. How to calculate the LCM of 698, 922, 784, 679?

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 698, 922, 784, 679.

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}.