Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 385/974, 758/253, 778/377 quickly i.e. 113521870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 385/974, 758/253, 778/377 is 113521870.
LCM(385/974, 758/253, 778/377) = 113521870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 385/974,758/253,778/377
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 385,758,778
Least Common Multiple of Numerators i.e. LCM of 385,758,778 is 113521870.
GCF of Denominators means GCF of 974,253,377 as per the given fractions.
GCF of 974,253,377 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 385,758,778
2 | 385, 758, 778 |
385, 379, 389 |
∴ So the LCM of the given numbers is 2 x 385 x 379 x 389 = 113521870
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 385,758,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,758,778) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(385,758,778) x common factors =1 x 2 = 2
LCM(385,758,778) = ( 385 × 758 × 778 ) / 2
LCM(385,758,778) = 227043740 / 2
LCM(385,758,778) = 113521870
Lets's calculate GCF of 974,253,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113521870/1
Therefore the LCM of Fractions 385/974,758/253,778/377 is 113521870
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Greatest Common Factor
We found the factors 974,253,377 . The biggest common factor number is the GCF number.
So the greatest common factor 974,253,377 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 385/974, 758/253, 778/377?
Answer: LCM of Numerators as per given numbers 385/974, 758/253, 778/377 is
LCM of Numerators i.e. for 385,758,778 is 113521870
GCF of denominators i.e. for 974,253,377 is 1.
Thus, LCM of Fractions is 113521870.Finally, LCM of Fractions for 385/974, 758/253, 778/377 is 113521870.