Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/872, 237/757, 767/445 quickly i.e. 6180486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/872, 237/757, 767/445 is 6180486.
LCM(34/872, 237/757, 767/445) = 6180486
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/872,237/757,767/445
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 34,237,767
Least Common Multiple of Numerators i.e. LCM of 34,237,767 is 6180486.
GCF of Denominators means GCF of 872,757,445 as per the given fractions.
GCF of 872,757,445 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,237,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 6180486
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 34,237,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,237,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,237,767) x common factors =1 x 1 = 1
LCM(34,237,767) = ( 34 × 237 × 767 ) / 1
LCM(34,237,767) = 6180486 / 1
LCM(34,237,767) = 6180486
Lets's calculate GCF of 872,757,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6180486/1
Therefore the LCM of Fractions 34/872,237/757,767/445 is 6180486
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 872,757,445 . The biggest common factor number is the GCF number.
So the greatest common factor 872,757,445 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 34/872, 237/757, 767/445?
Answer: LCM of Numerators as per given numbers 34/872, 237/757, 767/445 is
LCM of Numerators i.e. for 34,237,767 is 6180486
GCF of denominators i.e. for 872,757,445 is 1.
Thus, LCM of Fractions is 6180486.Finally, LCM of Fractions for 34/872, 237/757, 767/445 is 6180486.