Least Common Multiple of 148/80, 514/6546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 148/80, 514/6546 quickly i.e. 19018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 148/80, 514/6546 is 19018.

LCM(148/80, 514/6546) = 19018

LCM of 148/80, 514/6546

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 148/80,514/6546

Given numbers are 148/80,514/6546

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 148,514

Least Common Multiple of Numerators i.e. LCM of 148,514 is 38036.

GCF of Denominators means GCF of 80,6546 as per the given fractions.

GCF of 80,6546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 148,514

LCM of Fractions 148/80,514/6546 is 19018

2 148, 514
74, 257

∴ So the LCM of the given numbers is 2 x 74 x 257 = 38036

Least Common Multiple of 148,514 with GCF Formula

Least Common Multiple of 148,514 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 148,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,514) = 2

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

GCF(148,514) x common factors =2 x 1 = 2

LCM(148,514) = ( 148 × 514 ) / 2

LCM(148,514) = 76072 / 2

LCM(148,514) = 38036


Lets's calculate GCF of 80,6546

2 80, 6546
40, 3273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38036/2

Therefore the LCM of Fractions 148/80,514/6546 is 19018

Greatest Common Factor of 80,6546 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,6546 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 6546

List of positive integer factors of 6546 that divides 6546 without a remainder.

1,2,3,6,1091,2182,3273,6546

Greatest Common Factor

We found the factors 80,6546 . The biggest common factor number is the GCF number.
So the greatest common factor 80,6546 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 148/80, 514/6546

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 148/80, 514/6546?

Answer: LCM of Numerators as per given numbers 148/80, 514/6546 is

LCM of Numerators i.e. for 148,514 is 38036

GCF of denominators i.e. for 80,6546 is 2.

Thus, LCM of Fractions is 19018.Finally, LCM of Fractions for 148/80, 514/6546 is 19018.