Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/874, 74/948 quickly i.e. 740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/874, 74/948 is 740.
LCM(40/874, 74/948) = 740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/874,74/948
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 40,74
Least Common Multiple of Numerators i.e. LCM of 40,74 is 1480.
GCF of Denominators means GCF of 874,948 as per the given fractions.
GCF of 874,948 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,74
2 | 40, 74 |
20, 37 |
∴ So the LCM of the given numbers is 2 x 20 x 37 = 1480
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 40,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,74) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(40,74) x common factors =2 x 1 = 2
LCM(40,74) = ( 40 × 74 ) / 2
LCM(40,74) = 2960 / 2
LCM(40,74) = 1480
Lets's calculate GCF of 874,948
2 | 874, 948 |
437, 474 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1480/2
Therefore the LCM of Fractions 40/874,74/948 is 740
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 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 874,948 . The biggest common factor number is the GCF number.
So the greatest common factor 874,948 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 40/874, 74/948?
Answer: LCM of Numerators as per given numbers 40/874, 74/948 is
LCM of Numerators i.e. for 40,74 is 1480
GCF of denominators i.e. for 874,948 is 2.
Thus, LCM of Fractions is 740.Finally, LCM of Fractions for 40/874, 74/948 is 740.