Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/807, 72/988, 700/226 quickly i.e. 12600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/807, 72/988, 700/226 is 12600.
LCM(70/807, 72/988, 700/226) = 12600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/807,72/988,700/226
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 70,72,700
Least Common Multiple of Numerators i.e. LCM of 70,72,700 is 12600.
GCF of Denominators means GCF of 807,988,226 as per the given fractions.
GCF of 807,988,226 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,72,700
2 | 70, 72, 700 |
2 | 35, 36, 350 |
5 | 35, 18, 175 |
7 | 7, 18, 35 |
1, 18, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 18 x 5 = 12600
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 70,72,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,72,700) = 2
common factors(in case of two or more numbers have common factors) = 140
GCF(70,72,700) x common factors =2 x 140 = 280
LCM(70,72,700) = ( 70 × 72 × 700 ) / 280
LCM(70,72,700) = 3528000 / 280
LCM(70,72,700) = 12600
Lets's calculate GCF of 807,988,226
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12600/1
Therefore the LCM of Fractions 70/807,72/988,700/226 is 12600
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Greatest Common Factor
We found the factors 807,988,226 . The biggest common factor number is the GCF number.
So the greatest common factor 807,988,226 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 70/807, 72/988, 700/226?
Answer: LCM of Numerators as per given numbers 70/807, 72/988, 700/226 is
LCM of Numerators i.e. for 70,72,700 is 12600
GCF of denominators i.e. for 807,988,226 is 1.
Thus, LCM of Fractions is 12600.Finally, LCM of Fractions for 70/807, 72/988, 700/226 is 12600.