Least Common Multiple of 546/178, 990/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/178, 990/862 quickly i.e. 45045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/178, 990/862 is 45045.

LCM(546/178, 990/862) = 45045

LCM of 546/178, 990/862

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 546/178,990/862

Given numbers are 546/178,990/862

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 546,990

Least Common Multiple of Numerators i.e. LCM of 546,990 is 90090.

GCF of Denominators means GCF of 178,862 as per the given fractions.

GCF of 178,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,990

LCM of Fractions 546/178,990/862 is 45045

2 546, 990
3 273, 495
91, 165

∴ So the LCM of the given numbers is 2 x 3 x 91 x 165 = 90090

Least Common Multiple of 546,990 with GCF Formula

Least Common Multiple of 546,990 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 546,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,990) = 6

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

GCF(546,990) x common factors =6 x 1 = 6

LCM(546,990) = ( 546 × 990 ) / 6

LCM(546,990) = 540540 / 6

LCM(546,990) = 90090


Lets's calculate GCF of 178,862

2 178, 862
89, 431

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90090/2

Therefore the LCM of Fractions 546/178,990/862 is 45045

Greatest Common Factor of 178,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,862 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 178,862 . The biggest common factor number is the GCF number.
So the greatest common factor 178,862 is 2.


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 546/178, 990/862

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 546/178, 990/862?

Answer: LCM of Numerators as per given numbers 546/178, 990/862 is

LCM of Numerators i.e. for 546,990 is 90090

GCF of denominators i.e. for 178,862 is 2.

Thus, LCM of Fractions is 45045.Finally, LCM of Fractions for 546/178, 990/862 is 45045.