Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 700/40, 376/7167 quickly i.e. 65800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 700/40, 376/7167 is 65800.
LCM(700/40, 376/7167) = 65800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 700/40,376/7167
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 700,376
Least Common Multiple of Numerators i.e. LCM of 700,376 is 65800.
GCF of Denominators means GCF of 40,7167 as per the given fractions.
GCF of 40,7167 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 700,376
2 | 700, 376 |
2 | 350, 188 |
175, 94 |
∴ So the LCM of the given numbers is 2 x 2 x 175 x 94 = 65800
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 700,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,376) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(700,376) x common factors =4 x 1 = 4
LCM(700,376) = ( 700 × 376 ) / 4
LCM(700,376) = 263200 / 4
LCM(700,376) = 65800
Lets's calculate GCF of 40,7167
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65800/1
Therefore the LCM of Fractions 700/40,376/7167 is 65800
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 7167
List of positive integer factors of 7167 that divides 7167 without a remainder.
1,3,2389,7167
Greatest Common Factor
We found the factors 40,7167 . The biggest common factor number is the GCF number.
So the greatest common factor 40,7167 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 700/40, 376/7167?
Answer: LCM of Numerators as per given numbers 700/40, 376/7167 is
LCM of Numerators i.e. for 700,376 is 65800
GCF of denominators i.e. for 40,7167 is 1.
Thus, LCM of Fractions is 65800.Finally, LCM of Fractions for 700/40, 376/7167 is 65800.