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LCM of 312, 676, 734, 268, 852

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


Find the LCM of 312, 676, 734, 268, 852 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 312, 676, 734, 268, 852. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,676,734,268,852

Given numbers are 312,676,734,268,852

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

The LCM of 312,676,734,268,852 is 7081041864.

Find LCM of 312,676,734,268,852 with Prime Factorization


2 312, 676, 734, 268, 852
2 156, 338, 367, 134, 426
3 78, 169, 367, 67, 213
13 26, 169, 367, 67, 71
2, 13, 367, 67, 71

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

2 x 2 x 3 x 13 x 2 x 13 x 367 x 67 x 71 = 7081041864

Therefore, the lowest common multiple of 312,676,734,268,852 is 7081041864.

LCM Formula to Find Lowest Common Multiple of 312,676,734,268,852

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.

312 x 676 x 734 x 268 x 852 = 35348560985088

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

734 : 1, 2, 367, 734

268 : 1, 2, 4, 67, 134, 268

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,676,734,268,852, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

676:2x 2x 13x 13

734:2x 367

268:2x 2x 67

852:2x 2x 3x 71

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 2x 2x 2x 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 35348560985088/(2x2496)

LCM = 35348560985088/4992

LCM = 7081041864

Thus, we can understand that the LCM of 312,676,734,268,852 is 7081041864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 676, 734, 268, 852

1. What is the LCM of 312, 676, 734, 268, 852?

Answer: LCM of 312, 676, 734, 268, 852 is 7081041864.

2. How to calculate the LCM of 312, 676, 734, 268, 852?

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 312, 676, 734, 268, 852.

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}.