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LCM of 778, 398, 506, 676

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


Find the LCM of 778, 398, 506, 676 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 778, 398, 506, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 778,398,506,676

Given numbers are 778,398,506,676

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

The LCM of 778,398,506,676 is 13239448508.

Find LCM of 778,398,506,676 with Prime Factorization


2 778, 398, 506, 676
389, 199, 253, 338

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

2 x 389 x 199 x 253 x 338 = 13239448508

Therefore, the lowest common multiple of 778,398,506,676 is 13239448508.

LCM Formula to Find Lowest Common Multiple of 778,398,506,676

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.

778 x 398 x 506 x 676 = 105915588064

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.

778 : 1, 2, 389, 778

398 : 1, 2, 199, 398

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,398,506,676, is 2.

Now, the common factors can be found like this.

778:2x 389

398:2x 199

506:2x 11x 23

676:2x 2x 13x 13

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 = 105915588064/(2x4)

LCM = 105915588064/8

LCM = 13239448508

Thus, we can understand that the LCM of 778,398,506,676 is 13239448508.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 778, 398, 506, 676

1. What is the LCM of 778, 398, 506, 676?

Answer: LCM of 778, 398, 506, 676 is 13239448508.

2. How to calculate the LCM of 778, 398, 506, 676?

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 778, 398, 506, 676.

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}.