Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/683, 45/119, 742/482 quickly i.e. 233730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/683, 45/119, 742/482 is 233730.
LCM(49/683, 45/119, 742/482) = 233730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/683,45/119,742/482
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 49,45,742
Least Common Multiple of Numerators i.e. LCM of 49,45,742 is 233730.
GCF of Denominators means GCF of 683,119,482 as per the given fractions.
GCF of 683,119,482 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,45,742
7 | 49, 45, 742 |
7, 45, 106 |
∴ So the LCM of the given numbers is 7 x 7 x 45 x 106 = 233730
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 49,45,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,45,742) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(49,45,742) x common factors =1 x 7 = 7
LCM(49,45,742) = ( 49 × 45 × 742 ) / 7
LCM(49,45,742) = 1636110 / 7
LCM(49,45,742) = 233730
Lets's calculate GCF of 683,119,482
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233730/1
Therefore the LCM of Fractions 49/683,45/119,742/482 is 233730
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 683,119,482 . The biggest common factor number is the GCF number.
So the greatest common factor 683,119,482 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 49/683, 45/119, 742/482?
Answer: LCM of Numerators as per given numbers 49/683, 45/119, 742/482 is
LCM of Numerators i.e. for 49,45,742 is 233730
GCF of denominators i.e. for 683,119,482 is 1.
Thus, LCM of Fractions is 233730.Finally, LCM of Fractions for 49/683, 45/119, 742/482 is 233730.