Least Common Multiple of 411/548, 968/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 411/548, 968/480 quickly i.e. 99462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 411/548, 968/480 is 99462.

LCM(411/548, 968/480) = 99462

LCM of 411/548, 968/480

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 411/548,968/480

Given numbers are 411/548,968/480

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 411,968

Least Common Multiple of Numerators i.e. LCM of 411,968 is 397848.

GCF of Denominators means GCF of 548,480 as per the given fractions.

GCF of 548,480 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 411,968

LCM of Fractions 411/548,968/480 is 99462

Given numbers has no common factors except 1. So, there LCM is their product i.e 397848

Least Common Multiple of 411,968 with GCF Formula

Least Common Multiple of 411,968 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 411,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,968) = 1

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

GCF(411,968) x common factors =1 x 1 = 1

LCM(411,968) = ( 411 × 968 ) / 1

LCM(411,968) = 397848 / 1

LCM(411,968) = 397848


Lets's calculate GCF of 548,480

2 548, 480
2 274, 240
137, 120

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 397848/4

Therefore the LCM of Fractions 411/548,968/480 is 99462

Greatest Common Factor of 548,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,480 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 548,480 . The biggest common factor number is the GCF number.
So the greatest common factor 548,480 is 4.


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 411/548, 968/480

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 411/548, 968/480?

Answer: LCM of Numerators as per given numbers 411/548, 968/480 is

LCM of Numerators i.e. for 411,968 is 397848

GCF of denominators i.e. for 548,480 is 4.

Thus, LCM of Fractions is 99462.Finally, LCM of Fractions for 411/548, 968/480 is 99462.