Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/935, 356/775, 210/632 quickly i.e. 859740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/935, 356/775, 210/632 is 859740.
LCM(69/935, 356/775, 210/632) = 859740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/935,356/775,210/632
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 69,356,210
Least Common Multiple of Numerators i.e. LCM of 69,356,210 is 859740.
GCF of Denominators means GCF of 935,775,632 as per the given fractions.
GCF of 935,775,632 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,356,210
2 | 69, 356, 210 |
3 | 69, 178, 105 |
23, 178, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 178 x 35 = 859740
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 69,356,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,356,210) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(69,356,210) x common factors =1 x 6 = 6
LCM(69,356,210) = ( 69 × 356 × 210 ) / 6
LCM(69,356,210) = 5158440 / 6
LCM(69,356,210) = 859740
Lets's calculate GCF of 935,775,632
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 859740/1
Therefore the LCM of Fractions 69/935,356/775,210/632 is 859740
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 935,775,632 . The biggest common factor number is the GCF number.
So the greatest common factor 935,775,632 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 69/935, 356/775, 210/632?
Answer: LCM of Numerators as per given numbers 69/935, 356/775, 210/632 is
LCM of Numerators i.e. for 69,356,210 is 859740
GCF of denominators i.e. for 935,775,632 is 1.
Thus, LCM of Fractions is 859740.Finally, LCM of Fractions for 69/935, 356/775, 210/632 is 859740.