Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/901, 74/427, 70/159 quickly i.e. 7770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/901, 74/427, 70/159 is 7770.
LCM(6/901, 74/427, 70/159) = 7770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/901,74/427,70/159
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 6,74,70
Least Common Multiple of Numerators i.e. LCM of 6,74,70 is 7770.
GCF of Denominators means GCF of 901,427,159 as per the given fractions.
GCF of 901,427,159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,74,70
2 | 6, 74, 70 |
3, 37, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 35 = 7770
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 6,74,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,74,70) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(6,74,70) x common factors =2 x 2 = 4
LCM(6,74,70) = ( 6 × 74 × 70 ) / 4
LCM(6,74,70) = 31080 / 4
LCM(6,74,70) = 7770
Lets's calculate GCF of 901,427,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7770/1
Therefore the LCM of Fractions 6/901,74/427,70/159 is 7770
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 901,427,159 . The biggest common factor number is the GCF number.
So the greatest common factor 901,427,159 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 6/901, 74/427, 70/159?
Answer: LCM of Numerators as per given numbers 6/901, 74/427, 70/159 is
LCM of Numerators i.e. for 6,74,70 is 7770
GCF of denominators i.e. for 901,427,159 is 1.
Thus, LCM of Fractions is 7770.Finally, LCM of Fractions for 6/901, 74/427, 70/159 is 7770.