Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 236/98, 662/58, 472/622 quickly i.e. 78116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 236/98, 662/58, 472/622 is 78116.
LCM(236/98, 662/58, 472/622) = 78116
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 236/98,662/58,472/622
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 236,662,472
Least Common Multiple of Numerators i.e. LCM of 236,662,472 is 156232.
GCF of Denominators means GCF of 98,58,622 as per the given fractions.
GCF of 98,58,622 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 236,662,472
2 | 236, 662, 472 |
2 | 118, 331, 236 |
59 | 59, 331, 118 |
1, 331, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 1 x 331 x 2 = 156232
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 236,662,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,662,472) = 2
common factors(in case of two or more numbers have common factors) = 236
GCF(236,662,472) x common factors =2 x 236 = 472
LCM(236,662,472) = ( 236 × 662 × 472 ) / 472
LCM(236,662,472) = 73741504 / 472
LCM(236,662,472) = 156232
Lets's calculate GCF of 98,58,622
2 | 98, 58, 622 |
49, 29, 311 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156232/2
Therefore the LCM of Fractions 236/98,662/58,472/622 is 78116
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 98,58,622 . The biggest common factor number is the GCF number.
So the greatest common factor 98,58,622 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 236/98, 662/58, 472/622?
Answer: LCM of Numerators as per given numbers 236/98, 662/58, 472/622 is
LCM of Numerators i.e. for 236,662,472 is 156232
GCF of denominators i.e. for 98,58,622 is 2.
Thus, LCM of Fractions is 78116.Finally, LCM of Fractions for 236/98, 662/58, 472/622 is 78116.