Least Common Multiple of 1774/46, 2761/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1774/46, 2761/438 quickly i.e. 2449007 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1774/46, 2761/438 is 2449007.

LCM(1774/46, 2761/438) = 2449007

LCM of 1774/46, 2761/438

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 1774/46,2761/438

Given numbers are 1774/46,2761/438

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 1774,2761

Least Common Multiple of Numerators i.e. LCM of 1774,2761 is 4898014.

GCF of Denominators means GCF of 46,438 as per the given fractions.

GCF of 46,438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1774,2761

LCM of Fractions 1774/46,2761/438 is 2449007

Given numbers has no common factors except 1. So, there LCM is their product i.e 4898014

Least Common Multiple of 1774,2761 with GCF Formula

Least Common Multiple of 1774,2761 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 1774,2761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1774,2761) = 1

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

GCF(1774,2761) x common factors =1 x 1 = 1

LCM(1774,2761) = ( 1774 × 2761 ) / 1

LCM(1774,2761) = 4898014 / 1

LCM(1774,2761) = 4898014


Lets's calculate GCF of 46,438

2 46, 438
23, 219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4898014/2

Therefore the LCM of Fractions 1774/46,2761/438 is 2449007

Greatest Common Factor of 46,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,438 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 46,438 . The biggest common factor number is the GCF number.
So the greatest common factor 46,438 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 1774/46, 2761/438

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 1774/46, 2761/438?

Answer: LCM of Numerators as per given numbers 1774/46, 2761/438 is

LCM of Numerators i.e. for 1774,2761 is 4898014

GCF of denominators i.e. for 46,438 is 2.

Thus, LCM of Fractions is 2449007.Finally, LCM of Fractions for 1774/46, 2761/438 is 2449007.