Least Common Multiple of 437/52, 298/2774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 437/52, 298/2774 quickly i.e. 65113 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 437/52, 298/2774 is 65113.

LCM(437/52, 298/2774) = 65113

LCM of 437/52, 298/2774

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 437/52,298/2774

Given numbers are 437/52,298/2774

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 437,298

Least Common Multiple of Numerators i.e. LCM of 437,298 is 130226.

GCF of Denominators means GCF of 52,2774 as per the given fractions.

GCF of 52,2774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 437,298

LCM of Fractions 437/52,298/2774 is 65113

Given numbers has no common factors except 1. So, there LCM is their product i.e 130226

Least Common Multiple of 437,298 with GCF Formula

Least Common Multiple of 437,298 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 437,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,298) = 1

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

GCF(437,298) x common factors =1 x 1 = 1

LCM(437,298) = ( 437 × 298 ) / 1

LCM(437,298) = 130226 / 1

LCM(437,298) = 130226


Lets's calculate GCF of 52,2774

2 52, 2774
26, 1387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130226/2

Therefore the LCM of Fractions 437/52,298/2774 is 65113

Greatest Common Factor of 52,2774 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,2774 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 2774

List of positive integer factors of 2774 that divides 2774 without a remainder.

1,2,19,38,73,146,1387,2774

Greatest Common Factor

We found the factors 52,2774 . The biggest common factor number is the GCF number.
So the greatest common factor 52,2774 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 437/52, 298/2774

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 437/52, 298/2774?

Answer: LCM of Numerators as per given numbers 437/52, 298/2774 is

LCM of Numerators i.e. for 437,298 is 130226

GCF of denominators i.e. for 52,2774 is 2.

Thus, LCM of Fractions is 65113.Finally, LCM of Fractions for 437/52, 298/2774 is 65113.