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LCM of 676, 654, 763

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


Find the LCM of 676, 654, 763 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, 654, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,654,763

Given numbers are 676,654,763

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

The LCM of 676,654,763 is 1547364.

Find LCM of 676,654,763 with Prime Factorization


2 676, 654, 763
109 338, 327, 763
338, 3, 7

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

2 x 109 x 338 x 3 x 7 = 1547364

Therefore, the lowest common multiple of 676,654,763 is 1547364.

LCM Formula to Find Lowest Common Multiple of 676,654,763

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 654 x 763 = 337325352

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,654,763, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

654:2x 3x 109

763:7x 109

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

2x 109 = 218

Therefore, the value for common factors is 218.

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 = 337325352/(1x218)

LCM = 337325352/218

LCM = 1547364

Thus, we can understand that the LCM of 676,654,763 is 1547364.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 676, 654, 763

1. What is the LCM of 676, 654, 763?

Answer: LCM of 676, 654, 763 is 1547364.

2. How to calculate the LCM of 676, 654, 763?

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, 654, 763.

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}.