Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 740/146, 511/954, 235/700 quickly i.e. 8886290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 740/146, 511/954, 235/700 is 8886290.
LCM(740/146, 511/954, 235/700) = 8886290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 740/146,511/954,235/700
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 740,511,235
Least Common Multiple of Numerators i.e. LCM of 740,511,235 is 17772580.
GCF of Denominators means GCF of 146,954,700 as per the given fractions.
GCF of 146,954,700 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 740,511,235
5 | 740, 511, 235 |
148, 511, 47 |
∴ So the LCM of the given numbers is 5 x 148 x 511 x 47 = 17772580
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 740,511,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,511,235) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(740,511,235) x common factors =1 x 5 = 5
LCM(740,511,235) = ( 740 × 511 × 235 ) / 5
LCM(740,511,235) = 88862900 / 5
LCM(740,511,235) = 17772580
Lets's calculate GCF of 146,954,700
2 | 146, 954, 700 |
73, 477, 350 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17772580/2
Therefore the LCM of Fractions 740/146,511/954,235/700 is 8886290
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 146,954,700 . The biggest common factor number is the GCF number.
So the greatest common factor 146,954,700 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 740/146, 511/954, 235/700?
Answer: LCM of Numerators as per given numbers 740/146, 511/954, 235/700 is
LCM of Numerators i.e. for 740,511,235 is 17772580
GCF of denominators i.e. for 146,954,700 is 2.
Thus, LCM of Fractions is 8886290.Finally, LCM of Fractions for 740/146, 511/954, 235/700 is 8886290.