Least Common Multiple of 4405/14, 6550/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4405/14, 6550/274 quickly i.e. 2885275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4405/14, 6550/274 is 2885275.

LCM(4405/14, 6550/274) = 2885275

LCM of 4405/14, 6550/274

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 4405/14,6550/274

Given numbers are 4405/14,6550/274

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 4405,6550

Least Common Multiple of Numerators i.e. LCM of 4405,6550 is 5770550.

GCF of Denominators means GCF of 14,274 as per the given fractions.

GCF of 14,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4405,6550

LCM of Fractions 4405/14,6550/274 is 2885275

5 4405, 6550
881, 1310

∴ So the LCM of the given numbers is 5 x 881 x 1310 = 5770550

Least Common Multiple of 4405,6550 with GCF Formula

Least Common Multiple of 4405,6550 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 4405,6550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4405,6550) = 5

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

GCF(4405,6550) x common factors =5 x 1 = 5

LCM(4405,6550) = ( 4405 × 6550 ) / 5

LCM(4405,6550) = 28852750 / 5

LCM(4405,6550) = 5770550


Lets's calculate GCF of 14,274

2 14, 274
7, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5770550/2

Therefore the LCM of Fractions 4405/14,6550/274 is 2885275

Greatest Common Factor of 14,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,274 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 14,274 . The biggest common factor number is the GCF number.
So the greatest common factor 14,274 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4405/14, 6550/274

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 4405/14, 6550/274?

Answer: LCM of Numerators as per given numbers 4405/14, 6550/274 is

LCM of Numerators i.e. for 4405,6550 is 5770550

GCF of denominators i.e. for 14,274 is 2.

Thus, LCM of Fractions is 2885275.Finally, LCM of Fractions for 4405/14, 6550/274 is 2885275.