Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3864/874, 2065/2157 quickly i.e. 1139880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3864/874, 2065/2157 is 1139880.
LCM(3864/874, 2065/2157) = 1139880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3864/874,2065/2157
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 3864,2065
Least Common Multiple of Numerators i.e. LCM of 3864,2065 is 1139880.
GCF of Denominators means GCF of 874,2157 as per the given fractions.
GCF of 874,2157 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3864,2065
7 | 3864, 2065 |
552, 295 |
∴ So the LCM of the given numbers is 7 x 552 x 295 = 1139880
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 3864,2065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3864,2065) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(3864,2065) x common factors =7 x 1 = 7
LCM(3864,2065) = ( 3864 × 2065 ) / 7
LCM(3864,2065) = 7979160 / 7
LCM(3864,2065) = 1139880
Lets's calculate GCF of 874,2157
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1139880/1
Therefore the LCM of Fractions 3864/874,2065/2157 is 1139880
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 2157
List of positive integer factors of 2157 that divides 2157 without a remainder.
1,3,719,2157
Greatest Common Factor
We found the factors 874,2157 . The biggest common factor number is the GCF number.
So the greatest common factor 874,2157 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 3864/874, 2065/2157?
Answer: LCM of Numerators as per given numbers 3864/874, 2065/2157 is
LCM of Numerators i.e. for 3864,2065 is 1139880
GCF of denominators i.e. for 874,2157 is 1.
Thus, LCM of Fractions is 1139880.Finally, LCM of Fractions for 3864/874, 2065/2157 is 1139880.