Least Common Multiple of 49/838, 1608/7249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/838, 1608/7249 quickly i.e. 78792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/838, 1608/7249 is 78792.

LCM(49/838, 1608/7249) = 78792

LCM of 49/838, 1608/7249

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 49/838,1608/7249

Given numbers are 49/838,1608/7249

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 49,1608

Least Common Multiple of Numerators i.e. LCM of 49,1608 is 78792.

GCF of Denominators means GCF of 838,7249 as per the given fractions.

GCF of 838,7249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,1608

LCM of Fractions 49/838,1608/7249 is 78792

Given numbers has no common factors except 1. So, there LCM is their product i.e 78792

Least Common Multiple of 49,1608 with GCF Formula

Least Common Multiple of 49,1608 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 49,1608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,1608) = 1

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

GCF(49,1608) x common factors =1 x 1 = 1

LCM(49,1608) = ( 49 × 1608 ) / 1

LCM(49,1608) = 78792 / 1

LCM(49,1608) = 78792


Lets's calculate GCF of 838,7249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78792/1

Therefore the LCM of Fractions 49/838,1608/7249 is 78792

Greatest Common Factor of 838,7249 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,7249 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 7249

List of positive integer factors of 7249 that divides 7249 without a remainder.

1,11,659,7249

Greatest Common Factor

We found the factors 838,7249 . The biggest common factor number is the GCF number.
So the greatest common factor 838,7249 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 49/838, 1608/7249

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 49/838, 1608/7249?

Answer: LCM of Numerators as per given numbers 49/838, 1608/7249 is

LCM of Numerators i.e. for 49,1608 is 78792

GCF of denominators i.e. for 838,7249 is 1.

Thus, LCM of Fractions is 78792.Finally, LCM of Fractions for 49/838, 1608/7249 is 78792.