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LCM of 778, 555, 706, 724

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


Find the LCM of 778, 555, 706, 724 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, 555, 706, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 778,555,706,724

Given numbers are 778,555,706,724

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

The LCM of 778,555,706,724 is 55176716940.

Find LCM of 778,555,706,724 with Prime Factorization


2 778, 555, 706, 724
389, 555, 353, 362

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

2 x 389 x 555 x 353 x 362 = 55176716940

Therefore, the lowest common multiple of 778,555,706,724 is 55176716940.

LCM Formula to Find Lowest Common Multiple of 778,555,706,724

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 555 x 706 x 724 = 220706867760

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

555 : 1, 3, 5, 15, 37, 111, 185, 555

706 : 1, 2, 353, 706

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,555,706,724, is 1.

Now, the common factors can be found like this.

778:2x 389

555:3x 5x 37

706:2x 353

724:2x 2x 181

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 = 220706867760/(1x4)

LCM = 220706867760/4

LCM = 55176716940

Thus, we can understand that the LCM of 778,555,706,724 is 55176716940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 778, 555, 706, 724

1. What is the LCM of 778, 555, 706, 724?

Answer: LCM of 778, 555, 706, 724 is 55176716940.

2. How to calculate the LCM of 778, 555, 706, 724?

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, 555, 706, 724.

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}.