Least Common Multiple of 88/794, 704/493, 770/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/794, 704/493, 770/786 quickly i.e. 24640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/794, 704/493, 770/786 is 24640.

LCM(88/794, 704/493, 770/786) = 24640

LCM of 88/794, 704/493, 770/786

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 88/794,704/493,770/786

Given numbers are 88/794,704/493,770/786

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 88,704,770

Least Common Multiple of Numerators i.e. LCM of 88,704,770 is 24640.

GCF of Denominators means GCF of 794,493,786 as per the given fractions.

GCF of 794,493,786 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,704,770

LCM of Fractions 88/794,704/493,770/786 is 24640

2 88, 704, 770
2 44, 352, 385
2 22, 176, 385
11 11, 88, 385
1, 8, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 1 x 8 x 35 = 24640

Least Common Multiple of 88,704,770 with GCF Formula

Least Common Multiple of 88,704,770 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 88,704,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,704,770) = 22

common factors(in case of two or more numbers have common factors) = 88

GCF(88,704,770) x common factors =22 x 88 = 1936

LCM(88,704,770) = ( 88 × 704 × 770 ) / 1936

LCM(88,704,770) = 47703040 / 1936

LCM(88,704,770) = 24640


Lets's calculate GCF of 794,493,786

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24640/1

Therefore the LCM of Fractions 88/794,704/493,770/786 is 24640

Greatest Common Factor of 794,493,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,493,786 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 794,493,786 . The biggest common factor number is the GCF number.
So the greatest common factor 794,493,786 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 88/794, 704/493, 770/786

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 88/794, 704/493, 770/786?

Answer: LCM of Numerators as per given numbers 88/794, 704/493, 770/786 is

LCM of Numerators i.e. for 88,704,770 is 24640

GCF of denominators i.e. for 794,493,786 is 1.

Thus, LCM of Fractions is 24640.Finally, LCM of Fractions for 88/794, 704/493, 770/786 is 24640.