LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 874, 782, 713, 776

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


Find the LCM of 874, 782, 713, 776 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 874, 782, 713, 776. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,782,713,776

Given numbers are 874,782,713,776

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

The LCM of 874,782,713,776 is 178712024.

Find LCM of 874,782,713,776 with Prime Factorization


2 874, 782, 713, 776
23 437, 391, 713, 388
19, 17, 31, 388

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

2 x 23 x 19 x 17 x 31 x 388 = 178712024

Therefore, the lowest common multiple of 874,782,713,776 is 178712024.

LCM Formula to Find Lowest Common Multiple of 874,782,713,776

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.

874 x 782 x 713 x 776 = 378154642784

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

782 : 1, 2, 17, 23, 34, 46, 391, 782

713 : 1, 23, 31, 713

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,782,713,776, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

782:2x 17x 23

713:23x 31

776:2x 2x 2x 97

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

2x 2x 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 378154642784/(1x2116)

LCM = 378154642784/2116

LCM = 178712024

Thus, we can understand that the LCM of 874,782,713,776 is 178712024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 782, 713, 776

1. What is the LCM of 874, 782, 713, 776?

Answer: LCM of 874, 782, 713, 776 is 178712024.

2. How to calculate the LCM of 874, 782, 713, 776?

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 874, 782, 713, 776.

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}.