Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7558/98, 2836/148 quickly i.e. 5358622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7558/98, 2836/148 is 5358622.
LCM(7558/98, 2836/148) = 5358622
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7558/98,2836/148
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 7558,2836
Least Common Multiple of Numerators i.e. LCM of 7558,2836 is 10717244.
GCF of Denominators means GCF of 98,148 as per the given fractions.
GCF of 98,148 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7558,2836
2 | 7558, 2836 |
3779, 1418 |
∴ So the LCM of the given numbers is 2 x 3779 x 1418 = 10717244
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 7558,2836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7558,2836) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7558,2836) x common factors =2 x 1 = 2
LCM(7558,2836) = ( 7558 × 2836 ) / 2
LCM(7558,2836) = 21434488 / 2
LCM(7558,2836) = 10717244
Lets's calculate GCF of 98,148
2 | 98, 148 |
49, 74 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10717244/2
Therefore the LCM of Fractions 7558/98,2836/148 is 5358622
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Greatest Common Factor
We found the factors 98,148 . The biggest common factor number is the GCF number.
So the greatest common factor 98,148 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 7558/98, 2836/148?
Answer: LCM of Numerators as per given numbers 7558/98, 2836/148 is
LCM of Numerators i.e. for 7558,2836 is 10717244
GCF of denominators i.e. for 98,148 is 2.
Thus, LCM of Fractions is 5358622.Finally, LCM of Fractions for 7558/98, 2836/148 is 5358622.