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LCM of 123, 736, 779, 299

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


Find the LCM of 123, 736, 779, 299 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 123, 736, 779, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 123,736,779,299

Given numbers are 123,736,779,299

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

The LCM of 123,736,779,299 is 22360416.

Find LCM of 123,736,779,299 with Prime Factorization


23 123, 736, 779, 299
41 123, 32, 779, 13
3, 32, 19, 13

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

23 x 41 x 3 x 32 x 19 x 13 = 22360416

Therefore, the lowest common multiple of 123,736,779,299 is 22360416.

LCM Formula to Find Lowest Common Multiple of 123,736,779,299

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.

123 x 736 x 779 x 299 = 21085872288

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.

123 : 1, 3, 41, 123

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

779 : 1, 19, 41, 779

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,736,779,299, is 1.

Now, the common factors can be found like this.

123:3x 41

736:2x 2x 2x 2x 2x 23

779:19x 41

299:13x 23

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

23x 41 = 943

Therefore, the value for common factors is 943.

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 = 21085872288/(1x943)

LCM = 21085872288/943

LCM = 22360416

Thus, we can understand that the LCM of 123,736,779,299 is 22360416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 123, 736, 779, 299

1. What is the LCM of 123, 736, 779, 299?

Answer: LCM of 123, 736, 779, 299 is 22360416.

2. How to calculate the LCM of 123, 736, 779, 299?

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 123, 736, 779, 299.

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}.