Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 835/70, 142/4925 quickly i.e. 23714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 835/70, 142/4925 is 23714.
LCM(835/70, 142/4925) = 23714
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 835/70,142/4925
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 835,142
Least Common Multiple of Numerators i.e. LCM of 835,142 is 118570.
GCF of Denominators means GCF of 70,4925 as per the given fractions.
GCF of 70,4925 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 835,142
Given numbers has no common factors except 1. So, there LCM is their product i.e 118570
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 835,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,142) x common factors =1 x 1 = 1
LCM(835,142) = ( 835 × 142 ) / 1
LCM(835,142) = 118570 / 1
LCM(835,142) = 118570
Lets's calculate GCF of 70,4925
5 | 70, 4925 |
14, 985 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118570/5
Therefore the LCM of Fractions 835/70,142/4925 is 23714
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 4925
List of positive integer factors of 4925 that divides 4925 without a remainder.
1,5,25,197,985,4925
Greatest Common Factor
We found the factors 70,4925 . The biggest common factor number is the GCF number.
So the greatest common factor 70,4925 is 5.
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 835/70, 142/4925?
Answer: LCM of Numerators as per given numbers 835/70, 142/4925 is
LCM of Numerators i.e. for 835,142 is 118570
GCF of denominators i.e. for 70,4925 is 5.
Thus, LCM of Fractions is 23714.Finally, LCM of Fractions for 835/70, 142/4925 is 23714.