Least Common Multiple of 661/47, 800/33, 509/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 661/47, 800/33, 509/876 quickly i.e. 269159200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 661/47, 800/33, 509/876 is 269159200.

LCM(661/47, 800/33, 509/876) = 269159200

LCM of 661/47, 800/33, 509/876

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 661/47,800/33,509/876

Given numbers are 661/47,800/33,509/876

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 661,800,509

Least Common Multiple of Numerators i.e. LCM of 661,800,509 is 269159200.

GCF of Denominators means GCF of 47,33,876 as per the given fractions.

GCF of 47,33,876 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 661,800,509

LCM of Fractions 661/47,800/33,509/876 is 269159200

Given numbers has no common factors except 1. So, there LCM is their product i.e 269159200

Least Common Multiple of 661,800,509 with GCF Formula

Least Common Multiple of 661,800,509 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 661,800,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,800,509) = 1

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

GCF(661,800,509) x common factors =1 x 1 = 1

LCM(661,800,509) = ( 661 × 800 × 509 ) / 1

LCM(661,800,509) = 269159200 / 1

LCM(661,800,509) = 269159200


Lets's calculate GCF of 47,33,876

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269159200/1

Therefore the LCM of Fractions 661/47,800/33,509/876 is 269159200

Greatest Common Factor of 47,33,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,33,876 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 47,33,876 . The biggest common factor number is the GCF number.
So the greatest common factor 47,33,876 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 661/47, 800/33, 509/876

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 661/47, 800/33, 509/876?

Answer: LCM of Numerators as per given numbers 661/47, 800/33, 509/876 is

LCM of Numerators i.e. for 661,800,509 is 269159200

GCF of denominators i.e. for 47,33,876 is 1.

Thus, LCM of Fractions is 269159200.Finally, LCM of Fractions for 661/47, 800/33, 509/876 is 269159200.