Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 921/92, 921/55, 532/610 quickly i.e. 489972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 921/92, 921/55, 532/610 is 489972.
LCM(921/92, 921/55, 532/610) = 489972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 921/92,921/55,532/610
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 921,921,532
Least Common Multiple of Numerators i.e. LCM of 921,921,532 is 489972.
GCF of Denominators means GCF of 92,55,610 as per the given fractions.
GCF of 92,55,610 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 921,921,532
3 | 921, 921, 532 |
307 | 307, 307, 532 |
1, 1, 532 |
∴ So the LCM of the given numbers is 3 x 307 x 1 x 1 x 532 = 489972
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 921,921,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,921,532) = 1
common factors(in case of two or more numbers have common factors) = 921
GCF(921,921,532) x common factors =1 x 921 = 921
LCM(921,921,532) = ( 921 × 921 × 532 ) / 921
LCM(921,921,532) = 451264212 / 921
LCM(921,921,532) = 489972
Lets's calculate GCF of 92,55,610
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489972/1
Therefore the LCM of Fractions 921/92,921/55,532/610 is 489972
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 92,55,610 . The biggest common factor number is the GCF number.
So the greatest common factor 92,55,610 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 921/92, 921/55, 532/610?
Answer: LCM of Numerators as per given numbers 921/92, 921/55, 532/610 is
LCM of Numerators i.e. for 921,921,532 is 489972
GCF of denominators i.e. for 92,55,610 is 1.
Thus, LCM of Fractions is 489972.Finally, LCM of Fractions for 921/92, 921/55, 532/610 is 489972.