Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 907/354, 142/733 quickly i.e. 128794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 907/354, 142/733 is 128794.
LCM(907/354, 142/733) = 128794
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 907/354,142/733
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 907,142
Least Common Multiple of Numerators i.e. LCM of 907,142 is 128794.
GCF of Denominators means GCF of 354,733 as per the given fractions.
GCF of 354,733 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 907,142
Given numbers has no common factors except 1. So, there LCM is their product i.e 128794
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 907,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,142) x common factors =1 x 1 = 1
LCM(907,142) = ( 907 × 142 ) / 1
LCM(907,142) = 128794 / 1
LCM(907,142) = 128794
Lets's calculate GCF of 354,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128794/1
Therefore the LCM of Fractions 907/354,142/733 is 128794
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors 354,733 . The biggest common factor number is the GCF number.
So the greatest common factor 354,733 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 907/354, 142/733?
Answer: LCM of Numerators as per given numbers 907/354, 142/733 is
LCM of Numerators i.e. for 907,142 is 128794
GCF of denominators i.e. for 354,733 is 1.
Thus, LCM of Fractions is 128794.Finally, LCM of Fractions for 907/354, 142/733 is 128794.