Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 688/98, 478/10, 377/182 quickly i.e. 30995432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 688/98, 478/10, 377/182 is 30995432.
LCM(688/98, 478/10, 377/182) = 30995432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 688/98,478/10,377/182
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 688,478,377
Least Common Multiple of Numerators i.e. LCM of 688,478,377 is 61990864.
GCF of Denominators means GCF of 98,10,182 as per the given fractions.
GCF of 98,10,182 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 688,478,377
2 | 688, 478, 377 |
344, 239, 377 |
∴ So the LCM of the given numbers is 2 x 344 x 239 x 377 = 61990864
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 688,478,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,478,377) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(688,478,377) x common factors =1 x 2 = 2
LCM(688,478,377) = ( 688 × 478 × 377 ) / 2
LCM(688,478,377) = 123981728 / 2
LCM(688,478,377) = 61990864
Lets's calculate GCF of 98,10,182
2 | 98, 10, 182 |
49, 5, 91 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61990864/2
Therefore the LCM of Fractions 688/98,478/10,377/182 is 30995432
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 98,10,182 . The biggest common factor number is the GCF number.
So the greatest common factor 98,10,182 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 688/98, 478/10, 377/182?
Answer: LCM of Numerators as per given numbers 688/98, 478/10, 377/182 is
LCM of Numerators i.e. for 688,478,377 is 61990864
GCF of denominators i.e. for 98,10,182 is 2.
Thus, LCM of Fractions is 30995432.Finally, LCM of Fractions for 688/98, 478/10, 377/182 is 30995432.