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LCM of 766, 421, 113, 668, 309

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


Find the LCM of 766, 421, 113, 668, 309 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 766, 421, 113, 668, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,421,113,668,309

Given numbers are 766,421,113,668,309

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

The LCM of 766,421,113,668,309 is 3760921383108.

Find LCM of 766,421,113,668,309 with Prime Factorization


2 766, 421, 113, 668, 309
383, 421, 113, 334, 309

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

2 x 383 x 421 x 113 x 334 x 309 = 3760921383108

Therefore, the lowest common multiple of 766,421,113,668,309 is 3760921383108.

LCM Formula to Find Lowest Common Multiple of 766,421,113,668,309

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.

766 x 421 x 113 x 668 x 309 = 7521842766216

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.

766 : 1, 2, 383, 766

421 : 1, 421

113 : 1, 113

668 : 1, 2, 4, 167, 334, 668

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,421,113,668,309, is 1.

Now, the common factors can be found like this.

766:2x 383

421:421

113:113

668:2x 2x 167

309:3x 103

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

2 = 2

Therefore, the value for common factors is 2.

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 = 7521842766216/(1x2)

LCM = 7521842766216/2

LCM = 3760921383108

Thus, we can understand that the LCM of 766,421,113,668,309 is 3760921383108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 421, 113, 668, 309

1. What is the LCM of 766, 421, 113, 668, 309?

Answer: LCM of 766, 421, 113, 668, 309 is 3760921383108.

2. How to calculate the LCM of 766, 421, 113, 668, 309?

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 766, 421, 113, 668, 309.

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}.