Least Common Multiple of 44/380, 1269/4256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/380, 1269/4256 quickly i.e. 55836/76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/380, 1269/4256 is 55836/76.

LCM(44/380, 1269/4256) = 55836/76

LCM of 44/380, 1269/4256

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 44/380,1269/4256

Given numbers are 44/380,1269/4256

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 44,1269

Least Common Multiple of Numerators i.e. LCM of 44,1269 is 55836.

GCF of Denominators means GCF of 380,4256 as per the given fractions.

GCF of 380,4256 is 76 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,1269

LCM of Fractions 44/380,1269/4256 is 55836/76

Given numbers has no common factors except 1. So, there LCM is their product i.e 55836

Least Common Multiple of 44,1269 with GCF Formula

Least Common Multiple of 44,1269 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 44,1269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,1269) = 1

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

GCF(44,1269) x common factors =1 x 1 = 1

LCM(44,1269) = ( 44 × 1269 ) / 1

LCM(44,1269) = 55836 / 1

LCM(44,1269) = 55836


Lets's calculate GCF of 380,4256

2 380, 4256
2 190, 2128
19 95, 1064
5, 56

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55836/76

Therefore the LCM of Fractions 44/380,1269/4256 is 55836/76

Greatest Common Factor of 380,4256 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,4256 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 4256

List of positive integer factors of 4256 that divides 4256 without a remainder.

1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256

Greatest Common Factor

We found the factors 380,4256 . The biggest common factor number is the GCF number.
So the greatest common factor 380,4256 is 76.


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 44/380, 1269/4256

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 44/380, 1269/4256?

Answer: LCM of Numerators as per given numbers 44/380, 1269/4256 is

LCM of Numerators i.e. for 44,1269 is 55836

GCF of denominators i.e. for 380,4256 is 76.

Thus, LCM of Fractions is 55836/76.Finally, LCM of Fractions for 44/380, 1269/4256 is 55836/76.