Least Common Multiple of 55/867, 5175/3546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/867, 5175/3546 quickly i.e. 18975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/867, 5175/3546 is 18975.

LCM(55/867, 5175/3546) = 18975

LCM of 55/867, 5175/3546

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 55/867,5175/3546

Given numbers are 55/867,5175/3546

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 55,5175

Least Common Multiple of Numerators i.e. LCM of 55,5175 is 56925.

GCF of Denominators means GCF of 867,3546 as per the given fractions.

GCF of 867,3546 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,5175

LCM of Fractions 55/867,5175/3546 is 18975

5 55, 5175
11, 1035

∴ So the LCM of the given numbers is 5 x 11 x 1035 = 56925

Least Common Multiple of 55,5175 with GCF Formula

Least Common Multiple of 55,5175 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 55,5175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,5175) = 5

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

GCF(55,5175) x common factors =5 x 1 = 5

LCM(55,5175) = ( 55 × 5175 ) / 5

LCM(55,5175) = 284625 / 5

LCM(55,5175) = 56925


Lets's calculate GCF of 867,3546

3 867, 3546
289, 1182

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56925/3

Therefore the LCM of Fractions 55/867,5175/3546 is 18975

Greatest Common Factor of 867,3546 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,3546 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 3546

List of positive integer factors of 3546 that divides 3546 without a remainder.

1,2,3,6,9,18,197,394,591,1182,1773,3546

Greatest Common Factor

We found the factors 867,3546 . The biggest common factor number is the GCF number.
So the greatest common factor 867,3546 is 3.


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 55/867, 5175/3546

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 55/867, 5175/3546?

Answer: LCM of Numerators as per given numbers 55/867, 5175/3546 is

LCM of Numerators i.e. for 55,5175 is 56925

GCF of denominators i.e. for 867,3546 is 3.

Thus, LCM of Fractions is 18975.Finally, LCM of Fractions for 55/867, 5175/3546 is 18975.