Least Common Multiple of 61/54, 677/64, 284/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/54, 677/64, 284/416 quickly i.e. 5864174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/54, 677/64, 284/416 is 5864174.

LCM(61/54, 677/64, 284/416) = 5864174

LCM of 61/54, 677/64, 284/416

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 61/54,677/64,284/416

Given numbers are 61/54,677/64,284/416

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 61,677,284

Least Common Multiple of Numerators i.e. LCM of 61,677,284 is 11728348.

GCF of Denominators means GCF of 54,64,416 as per the given fractions.

GCF of 54,64,416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,677,284

LCM of Fractions 61/54,677/64,284/416 is 5864174

Given numbers has no common factors except 1. So, there LCM is their product i.e 11728348

Least Common Multiple of 61,677,284 with GCF Formula

Least Common Multiple of 61,677,284 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 61,677,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,677,284) = 1

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

GCF(61,677,284) x common factors =1 x 1 = 1

LCM(61,677,284) = ( 61 × 677 × 284 ) / 1

LCM(61,677,284) = 11728348 / 1

LCM(61,677,284) = 11728348


Lets's calculate GCF of 54,64,416

2 54, 64, 416
27, 32, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11728348/2

Therefore the LCM of Fractions 61/54,677/64,284/416 is 5864174

Greatest Common Factor of 54,64,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,64,416 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 54,64,416 . The biggest common factor number is the GCF number.
So the greatest common factor 54,64,416 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 61/54, 677/64, 284/416

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 61/54, 677/64, 284/416?

Answer: LCM of Numerators as per given numbers 61/54, 677/64, 284/416 is

LCM of Numerators i.e. for 61,677,284 is 11728348

GCF of denominators i.e. for 54,64,416 is 2.

Thus, LCM of Fractions is 5864174.Finally, LCM of Fractions for 61/54, 677/64, 284/416 is 5864174.