Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/980, 602/867, 602/684 quickly i.e. 33110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/980, 602/867, 602/684 is 33110.
LCM(55/980, 602/867, 602/684) = 33110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/980,602/867,602/684
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 55,602,602
Least Common Multiple of Numerators i.e. LCM of 55,602,602 is 33110.
GCF of Denominators means GCF of 980,867,684 as per the given fractions.
GCF of 980,867,684 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,602,602
2 | 55, 602, 602 |
7 | 55, 301, 301 |
43 | 55, 43, 43 |
55, 1, 1 |
∴ So the LCM of the given numbers is 2 x 7 x 43 x 55 x 1 x 1 = 33110
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 55,602,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,602,602) = 1
common factors(in case of two or more numbers have common factors) = 602
GCF(55,602,602) x common factors =1 x 602 = 602
LCM(55,602,602) = ( 55 × 602 × 602 ) / 602
LCM(55,602,602) = 19932220 / 602
LCM(55,602,602) = 33110
Lets's calculate GCF of 980,867,684
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33110/1
Therefore the LCM of Fractions 55/980,602/867,602/684 is 33110
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 980,867,684 . The biggest common factor number is the GCF number.
So the greatest common factor 980,867,684 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 55/980, 602/867, 602/684?
Answer: LCM of Numerators as per given numbers 55/980, 602/867, 602/684 is
LCM of Numerators i.e. for 55,602,602 is 33110
GCF of denominators i.e. for 980,867,684 is 1.
Thus, LCM of Fractions is 33110.Finally, LCM of Fractions for 55/980, 602/867, 602/684 is 33110.