Least Common Multiple of 1976/45, 3496/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1976/45, 3496/227 quickly i.e. 45448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1976/45, 3496/227 is 45448.

LCM(1976/45, 3496/227) = 45448

LCM of 1976/45, 3496/227

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 1976/45,3496/227

Given numbers are 1976/45,3496/227

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 1976,3496

Least Common Multiple of Numerators i.e. LCM of 1976,3496 is 45448.

GCF of Denominators means GCF of 45,227 as per the given fractions.

GCF of 45,227 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1976,3496

LCM of Fractions 1976/45,3496/227 is 45448

2 1976, 3496
2 988, 1748
2 494, 874
19 247, 437
13, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 13 x 23 = 45448

Least Common Multiple of 1976,3496 with GCF Formula

Least Common Multiple of 1976,3496 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 1976,3496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1976,3496) = 152

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

GCF(1976,3496) x common factors =152 x 1 = 152

LCM(1976,3496) = ( 1976 × 3496 ) / 152

LCM(1976,3496) = 6908096 / 152

LCM(1976,3496) = 45448


Lets's calculate GCF of 45,227

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45448/1

Therefore the LCM of Fractions 1976/45,3496/227 is 45448

Greatest Common Factor of 45,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,227 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 45,227 . The biggest common factor number is the GCF number.
So the greatest common factor 45,227 is 1.


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 1976/45, 3496/227

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 1976/45, 3496/227?

Answer: LCM of Numerators as per given numbers 1976/45, 3496/227 is

LCM of Numerators i.e. for 1976,3496 is 45448

GCF of denominators i.e. for 45,227 is 1.

Thus, LCM of Fractions is 45448.Finally, LCM of Fractions for 1976/45, 3496/227 is 45448.