Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 180/92, 761/5030 quickly i.e. 68490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 180/92, 761/5030 is 68490.
LCM(180/92, 761/5030) = 68490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 180/92,761/5030
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 180,761
Least Common Multiple of Numerators i.e. LCM of 180,761 is 136980.
GCF of Denominators means GCF of 92,5030 as per the given fractions.
GCF of 92,5030 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 180,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 136980
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 180,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,761) x common factors =1 x 1 = 1
LCM(180,761) = ( 180 × 761 ) / 1
LCM(180,761) = 136980 / 1
LCM(180,761) = 136980
Lets's calculate GCF of 92,5030
2 | 92, 5030 |
46, 2515 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136980/2
Therefore the LCM of Fractions 180/92,761/5030 is 68490
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 5030
List of positive integer factors of 5030 that divides 5030 without a remainder.
1,2,5,10,503,1006,2515,5030
Greatest Common Factor
We found the factors 92,5030 . The biggest common factor number is the GCF number.
So the greatest common factor 92,5030 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 180/92, 761/5030?
Answer: LCM of Numerators as per given numbers 180/92, 761/5030 is
LCM of Numerators i.e. for 180,761 is 136980
GCF of denominators i.e. for 92,5030 is 2.
Thus, LCM of Fractions is 68490.Finally, LCM of Fractions for 180/92, 761/5030 is 68490.