Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/841, 67/250, 747/312 quickly i.e. 4404312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/841, 67/250, 747/312 is 4404312.
LCM(88/841, 67/250, 747/312) = 4404312
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/841,67/250,747/312
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 88,67,747
Least Common Multiple of Numerators i.e. LCM of 88,67,747 is 4404312.
GCF of Denominators means GCF of 841,250,312 as per the given fractions.
GCF of 841,250,312 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,67,747
Given numbers has no common factors except 1. So, there LCM is their product i.e 4404312
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 88,67,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,67,747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,67,747) x common factors =1 x 1 = 1
LCM(88,67,747) = ( 88 × 67 × 747 ) / 1
LCM(88,67,747) = 4404312 / 1
LCM(88,67,747) = 4404312
Lets's calculate GCF of 841,250,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4404312/1
Therefore the LCM of Fractions 88/841,67/250,747/312 is 4404312
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 841,250,312 . The biggest common factor number is the GCF number.
So the greatest common factor 841,250,312 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 88/841, 67/250, 747/312?
Answer: LCM of Numerators as per given numbers 88/841, 67/250, 747/312 is
LCM of Numerators i.e. for 88,67,747 is 4404312
GCF of denominators i.e. for 841,250,312 is 1.
Thus, LCM of Fractions is 4404312.Finally, LCM of Fractions for 88/841, 67/250, 747/312 is 4404312.