Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 695/38, 840/58, 833/948 quickly i.e. 6947220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 695/38, 840/58, 833/948 is 6947220.
LCM(695/38, 840/58, 833/948) = 6947220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 695/38,840/58,833/948
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 695,840,833
Least Common Multiple of Numerators i.e. LCM of 695,840,833 is 13894440.
GCF of Denominators means GCF of 38,58,948 as per the given fractions.
GCF of 38,58,948 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 695,840,833
5 | 695, 840, 833 |
7 | 139, 168, 833 |
139, 24, 119 |
∴ So the LCM of the given numbers is 5 x 7 x 139 x 24 x 119 = 13894440
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 695,840,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,840,833) = 1
common factors(in case of two or more numbers have common factors) = 35
GCF(695,840,833) x common factors =1 x 35 = 35
LCM(695,840,833) = ( 695 × 840 × 833 ) / 35
LCM(695,840,833) = 486305400 / 35
LCM(695,840,833) = 13894440
Lets's calculate GCF of 38,58,948
2 | 38, 58, 948 |
19, 29, 474 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13894440/2
Therefore the LCM of Fractions 695/38,840/58,833/948 is 6947220
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 38,58,948 . The biggest common factor number is the GCF number.
So the greatest common factor 38,58,948 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 695/38, 840/58, 833/948?
Answer: LCM of Numerators as per given numbers 695/38, 840/58, 833/948 is
LCM of Numerators i.e. for 695,840,833 is 13894440
GCF of denominators i.e. for 38,58,948 is 2.
Thus, LCM of Fractions is 6947220.Finally, LCM of Fractions for 695/38, 840/58, 833/948 is 6947220.