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LCM of 676, 966, 587, 134

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


Find the LCM of 676, 966, 587, 134 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 676, 966, 587, 134. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,966,587,134

Given numbers are 676,966,587,134

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

The LCM of 676,966,587,134 is 12841233132.

Find LCM of 676,966,587,134 with Prime Factorization


2 676, 966, 587, 134
338, 483, 587, 67

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

2 x 338 x 483 x 587 x 67 = 12841233132

Therefore, the lowest common multiple of 676,966,587,134 is 12841233132.

LCM Formula to Find Lowest Common Multiple of 676,966,587,134

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.

676 x 966 x 587 x 134 = 51364932528

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.

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

587 : 1, 587

134 : 1, 2, 67, 134

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,966,587,134, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

966:2x 3x 7x 23

587:587

134:2x 67

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 51364932528/(1x4)

LCM = 51364932528/4

LCM = 12841233132

Thus, we can understand that the LCM of 676,966,587,134 is 12841233132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 966, 587, 134

1. What is the LCM of 676, 966, 587, 134?

Answer: LCM of 676, 966, 587, 134 is 12841233132.

2. How to calculate the LCM of 676, 966, 587, 134?

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 676, 966, 587, 134.

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}.