Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/148, 58/810, 113/952 quickly i.e. 160573 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/148, 58/810, 113/952 is 160573.
LCM(98/148, 58/810, 113/952) = 160573
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/148,58/810,113/952
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 98,58,113
Least Common Multiple of Numerators i.e. LCM of 98,58,113 is 321146.
GCF of Denominators means GCF of 148,810,952 as per the given fractions.
GCF of 148,810,952 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,58,113
2 | 98, 58, 113 |
49, 29, 113 |
∴ So the LCM of the given numbers is 2 x 49 x 29 x 113 = 321146
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 98,58,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,58,113) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,58,113) x common factors =1 x 2 = 2
LCM(98,58,113) = ( 98 × 58 × 113 ) / 2
LCM(98,58,113) = 642292 / 2
LCM(98,58,113) = 321146
Lets's calculate GCF of 148,810,952
2 | 148, 810, 952 |
74, 405, 476 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321146/2
Therefore the LCM of Fractions 98/148,58/810,113/952 is 160573
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 148,810,952 . The biggest common factor number is the GCF number.
So the greatest common factor 148,810,952 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 98/148, 58/810, 113/952?
Answer: LCM of Numerators as per given numbers 98/148, 58/810, 113/952 is
LCM of Numerators i.e. for 98,58,113 is 321146
GCF of denominators i.e. for 148,810,952 is 2.
Thus, LCM of Fractions is 160573.Finally, LCM of Fractions for 98/148, 58/810, 113/952 is 160573.