Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 892/89, 510/78, 652/702 quickly i.e. 37075980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 892/89, 510/78, 652/702 is 37075980.
LCM(892/89, 510/78, 652/702) = 37075980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 892/89,510/78,652/702
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 892,510,652
Least Common Multiple of Numerators i.e. LCM of 892,510,652 is 37075980.
GCF of Denominators means GCF of 89,78,702 as per the given fractions.
GCF of 89,78,702 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 892,510,652
2 | 892, 510, 652 |
2 | 446, 255, 326 |
223, 255, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 255 x 163 = 37075980
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 892,510,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,510,652) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(892,510,652) x common factors =2 x 4 = 8
LCM(892,510,652) = ( 892 × 510 × 652 ) / 8
LCM(892,510,652) = 296607840 / 8
LCM(892,510,652) = 37075980
Lets's calculate GCF of 89,78,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37075980/1
Therefore the LCM of Fractions 892/89,510/78,652/702 is 37075980
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 89,78,702 . The biggest common factor number is the GCF number.
So the greatest common factor 89,78,702 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 892/89, 510/78, 652/702?
Answer: LCM of Numerators as per given numbers 892/89, 510/78, 652/702 is
LCM of Numerators i.e. for 892,510,652 is 37075980
GCF of denominators i.e. for 89,78,702 is 1.
Thus, LCM of Fractions is 37075980.Finally, LCM of Fractions for 892/89, 510/78, 652/702 is 37075980.