Least Common Multiple of 48/741, 49/686, 982/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/741, 49/686, 982/380 quickly i.e. 1154832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/741, 49/686, 982/380 is 1154832.

LCM(48/741, 49/686, 982/380) = 1154832

LCM of 48/741, 49/686, 982/380

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 48/741,49/686,982/380

Given numbers are 48/741,49/686,982/380

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 48,49,982

Least Common Multiple of Numerators i.e. LCM of 48,49,982 is 1154832.

GCF of Denominators means GCF of 741,686,380 as per the given fractions.

GCF of 741,686,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,49,982

LCM of Fractions 48/741,49/686,982/380 is 1154832

2 48, 49, 982
24, 49, 491

∴ So the LCM of the given numbers is 2 x 24 x 49 x 491 = 1154832

Least Common Multiple of 48,49,982 with GCF Formula

Least Common Multiple of 48,49,982 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 48,49,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,49,982) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(48,49,982) x common factors =1 x 2 = 2

LCM(48,49,982) = ( 48 × 49 × 982 ) / 2

LCM(48,49,982) = 2309664 / 2

LCM(48,49,982) = 1154832


Lets's calculate GCF of 741,686,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1154832/1

Therefore the LCM of Fractions 48/741,49/686,982/380 is 1154832

Greatest Common Factor of 741,686,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,686,380 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

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

Greatest Common Factor

We found the factors 741,686,380 . The biggest common factor number is the GCF number.
So the greatest common factor 741,686,380 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 48/741, 49/686, 982/380

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 48/741, 49/686, 982/380?

Answer: LCM of Numerators as per given numbers 48/741, 49/686, 982/380 is

LCM of Numerators i.e. for 48,49,982 is 1154832

GCF of denominators i.e. for 741,686,380 is 1.

Thus, LCM of Fractions is 1154832.Finally, LCM of Fractions for 48/741, 49/686, 982/380 is 1154832.