Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/508, 174/922, 844/151 quickly i.e. 6975660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/508, 174/922, 844/151 is 6975660.
LCM(95/508, 174/922, 844/151) = 6975660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/508,174/922,844/151
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 95,174,844
Least Common Multiple of Numerators i.e. LCM of 95,174,844 is 6975660.
GCF of Denominators means GCF of 508,922,151 as per the given fractions.
GCF of 508,922,151 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,174,844
2 | 95, 174, 844 |
95, 87, 422 |
∴ So the LCM of the given numbers is 2 x 95 x 87 x 422 = 6975660
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 95,174,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,174,844) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(95,174,844) x common factors =1 x 2 = 2
LCM(95,174,844) = ( 95 × 174 × 844 ) / 2
LCM(95,174,844) = 13951320 / 2
LCM(95,174,844) = 6975660
Lets's calculate GCF of 508,922,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6975660/1
Therefore the LCM of Fractions 95/508,174/922,844/151 is 6975660
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 508,922,151 . The biggest common factor number is the GCF number.
So the greatest common factor 508,922,151 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 95/508, 174/922, 844/151?
Answer: LCM of Numerators as per given numbers 95/508, 174/922, 844/151 is
LCM of Numerators i.e. for 95,174,844 is 6975660
GCF of denominators i.e. for 508,922,151 is 1.
Thus, LCM of Fractions is 6975660.Finally, LCM of Fractions for 95/508, 174/922, 844/151 is 6975660.