Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 981/62, 902/49, 792/738 quickly i.e. 3539448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 981/62, 902/49, 792/738 is 3539448.
LCM(981/62, 902/49, 792/738) = 3539448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 981/62,902/49,792/738
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 981,902,792
Least Common Multiple of Numerators i.e. LCM of 981,902,792 is 3539448.
GCF of Denominators means GCF of 62,49,738 as per the given fractions.
GCF of 62,49,738 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 981,902,792
2 | 981, 902, 792 |
3 | 981, 451, 396 |
3 | 327, 451, 132 |
11 | 109, 451, 44 |
109, 41, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 109 x 41 x 4 = 3539448
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 981,902,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,902,792) = 1
common factors(in case of two or more numbers have common factors) = 198
GCF(981,902,792) x common factors =1 x 198 = 198
LCM(981,902,792) = ( 981 × 902 × 792 ) / 198
LCM(981,902,792) = 700810704 / 198
LCM(981,902,792) = 3539448
Lets's calculate GCF of 62,49,738
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3539448/1
Therefore the LCM of Fractions 981/62,902/49,792/738 is 3539448
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 62,49,738 . The biggest common factor number is the GCF number.
So the greatest common factor 62,49,738 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 981/62, 902/49, 792/738?
Answer: LCM of Numerators as per given numbers 981/62, 902/49, 792/738 is
LCM of Numerators i.e. for 981,902,792 is 3539448
GCF of denominators i.e. for 62,49,738 is 1.
Thus, LCM of Fractions is 3539448.Finally, LCM of Fractions for 981/62, 902/49, 792/738 is 3539448.