Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 142/14, 551/45, 631/302 quickly i.e. 49370702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 142/14, 551/45, 631/302 is 49370702.
LCM(142/14, 551/45, 631/302) = 49370702
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 142/14,551/45,631/302
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 142,551,631
Least Common Multiple of Numerators i.e. LCM of 142,551,631 is 49370702.
GCF of Denominators means GCF of 14,45,302 as per the given fractions.
GCF of 14,45,302 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 142,551,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 49370702
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 142,551,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,551,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,551,631) x common factors =1 x 1 = 1
LCM(142,551,631) = ( 142 × 551 × 631 ) / 1
LCM(142,551,631) = 49370702 / 1
LCM(142,551,631) = 49370702
Lets's calculate GCF of 14,45,302
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49370702/1
Therefore the LCM of Fractions 142/14,551/45,631/302 is 49370702
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 14,45,302 . The biggest common factor number is the GCF number.
So the greatest common factor 14,45,302 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 142/14, 551/45, 631/302?
Answer: LCM of Numerators as per given numbers 142/14, 551/45, 631/302 is
LCM of Numerators i.e. for 142,551,631 is 49370702
GCF of denominators i.e. for 14,45,302 is 1.
Thus, LCM of Fractions is 49370702.Finally, LCM of Fractions for 142/14, 551/45, 631/302 is 49370702.