Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 134/722, 1060/884 quickly i.e. 35510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 134/722, 1060/884 is 35510.
LCM(134/722, 1060/884) = 35510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 134/722,1060/884
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 134,1060
Least Common Multiple of Numerators i.e. LCM of 134,1060 is 71020.
GCF of Denominators means GCF of 722,884 as per the given fractions.
GCF of 722,884 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 134,1060
2 | 134, 1060 |
67, 530 |
∴ So the LCM of the given numbers is 2 x 67 x 530 = 71020
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 134,1060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,1060) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(134,1060) x common factors =2 x 1 = 2
LCM(134,1060) = ( 134 × 1060 ) / 2
LCM(134,1060) = 142040 / 2
LCM(134,1060) = 71020
Lets's calculate GCF of 722,884
2 | 722, 884 |
361, 442 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71020/2
Therefore the LCM of Fractions 134/722,1060/884 is 35510
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 722,884 . The biggest common factor number is the GCF number.
So the greatest common factor 722,884 is 2.
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 134/722, 1060/884?
Answer: LCM of Numerators as per given numbers 134/722, 1060/884 is
LCM of Numerators i.e. for 134,1060 is 71020
GCF of denominators i.e. for 722,884 is 2.
Thus, LCM of Fractions is 35510.Finally, LCM of Fractions for 134/722, 1060/884 is 35510.