Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2911/974, 4283/3700 quickly i.e. 12467813/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2911/974, 4283/3700 is 12467813/2.
LCM(2911/974, 4283/3700) = 12467813/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2911/974,4283/3700
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 2911,4283
Least Common Multiple of Numerators i.e. LCM of 2911,4283 is 12467813.
GCF of Denominators means GCF of 974,3700 as per the given fractions.
GCF of 974,3700 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2911,4283
Given numbers has no common factors except 1. So, there LCM is their product i.e 12467813
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 2911,4283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2911,4283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2911,4283) x common factors =1 x 1 = 1
LCM(2911,4283) = ( 2911 × 4283 ) / 1
LCM(2911,4283) = 12467813 / 1
LCM(2911,4283) = 12467813
Lets's calculate GCF of 974,3700
2 | 974, 3700 |
487, 1850 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12467813/2
Therefore the LCM of Fractions 2911/974,4283/3700 is 12467813/2
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 3700
List of positive integer factors of 3700 that divides 3700 without a remainder.
1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700
Greatest Common Factor
We found the factors 974,3700 . The biggest common factor number is the GCF number.
So the greatest common factor 974,3700 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 2911/974, 4283/3700?
Answer: LCM of Numerators as per given numbers 2911/974, 4283/3700 is
LCM of Numerators i.e. for 2911,4283 is 12467813
GCF of denominators i.e. for 974,3700 is 2.
Thus, LCM of Fractions is 12467813/2.Finally, LCM of Fractions for 2911/974, 4283/3700 is 12467813/2.