Least Common Multiple of 785/827, 269/577, 533/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 785/827, 269/577, 533/868 quickly i.e. 112550945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/827, 269/577, 533/868 is 112550945.

LCM(785/827, 269/577, 533/868) = 112550945

LCM of 785/827, 269/577, 533/868

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 785/827,269/577,533/868

Given numbers are 785/827,269/577,533/868

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 785,269,533

Least Common Multiple of Numerators i.e. LCM of 785,269,533 is 112550945.

GCF of Denominators means GCF of 827,577,868 as per the given fractions.

GCF of 827,577,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,269,533

LCM of Fractions 785/827,269/577,533/868 is 112550945

Given numbers has no common factors except 1. So, there LCM is their product i.e 112550945

Least Common Multiple of 785,269,533 with GCF Formula

Least Common Multiple of 785,269,533 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 785,269,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,269,533) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(785,269,533) x common factors =1 x 1 = 1

LCM(785,269,533) = ( 785 × 269 × 533 ) / 1

LCM(785,269,533) = 112550945 / 1

LCM(785,269,533) = 112550945


Lets's calculate GCF of 827,577,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112550945/1

Therefore the LCM of Fractions 785/827,269/577,533/868 is 112550945

Greatest Common Factor of 827,577,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,577,868 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 827,577,868 . The biggest common factor number is the GCF number.
So the greatest common factor 827,577,868 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 785/827, 269/577, 533/868

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 785/827, 269/577, 533/868?

Answer: LCM of Numerators as per given numbers 785/827, 269/577, 533/868 is

LCM of Numerators i.e. for 785,269,533 is 112550945

GCF of denominators i.e. for 827,577,868 is 1.

Thus, LCM of Fractions is 112550945.Finally, LCM of Fractions for 785/827, 269/577, 533/868 is 112550945.