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LCM of 763, 556, 654, 727

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


Find the LCM of 763, 556, 654, 727 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 763, 556, 654, 727. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 763,556,654,727

Given numbers are 763,556,654,727

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

The LCM of 763,556,654,727 is 925241268.

Find LCM of 763,556,654,727 with Prime Factorization


2 763, 556, 654, 727
109 763, 278, 327, 727
7, 278, 3, 727

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

2 x 109 x 7 x 278 x 3 x 727 = 925241268

Therefore, the lowest common multiple of 763,556,654,727 is 925241268.

LCM Formula to Find Lowest Common Multiple of 763,556,654,727

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.

763 x 556 x 654 x 727 = 201702596424

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.

763 : 1, 7, 109, 763

556 : 1, 2, 4, 139, 278, 556

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

727 : 1, 727

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,556,654,727, is 1.

Now, the common factors can be found like this.

763:7x 109

556:2x 2x 139

654:2x 3x 109

727:727

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 = 201702596424/(1x218)

LCM = 201702596424/218

LCM = 925241268

Thus, we can understand that the LCM of 763,556,654,727 is 925241268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 763, 556, 654, 727

1. What is the LCM of 763, 556, 654, 727?

Answer: LCM of 763, 556, 654, 727 is 925241268.

2. How to calculate the LCM of 763, 556, 654, 727?

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 763, 556, 654, 727.

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}.