Least Common Multiple of 119/748, 6513/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 119/748, 6513/493 quickly i.e. 45591 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 119/748, 6513/493 is 45591.

LCM(119/748, 6513/493) = 45591

LCM of 119/748, 6513/493

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 119/748,6513/493

Given numbers are 119/748,6513/493

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 119,6513

Least Common Multiple of Numerators i.e. LCM of 119,6513 is 775047.

GCF of Denominators means GCF of 748,493 as per the given fractions.

GCF of 748,493 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 119,6513

LCM of Fractions 119/748,6513/493 is 45591

Given numbers has no common factors except 1. So, there LCM is their product i.e 775047

Least Common Multiple of 119,6513 with GCF Formula

Least Common Multiple of 119,6513 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 119,6513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,6513) = 1

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

GCF(119,6513) x common factors =1 x 1 = 1

LCM(119,6513) = ( 119 × 6513 ) / 1

LCM(119,6513) = 775047 / 1

LCM(119,6513) = 775047


Lets's calculate GCF of 748,493

17 748, 493
44, 29

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 775047/17

Therefore the LCM of Fractions 119/748,6513/493 is 45591

Greatest Common Factor of 748,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,493 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 748,493 . The biggest common factor number is the GCF number.
So the greatest common factor 748,493 is 17.


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 119/748, 6513/493

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 119/748, 6513/493?

Answer: LCM of Numerators as per given numbers 119/748, 6513/493 is

LCM of Numerators i.e. for 119,6513 is 775047

GCF of denominators i.e. for 748,493 is 17.

Thus, LCM of Fractions is 45591.Finally, LCM of Fractions for 119/748, 6513/493 is 45591.