Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 840/719, 265/117, 960/639 quickly i.e. 356160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 840/719, 265/117, 960/639 is 356160.
LCM(840/719, 265/117, 960/639) = 356160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 840/719,265/117,960/639
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 840,265,960
Least Common Multiple of Numerators i.e. LCM of 840,265,960 is 356160.
GCF of Denominators means GCF of 719,117,639 as per the given fractions.
GCF of 719,117,639 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 840,265,960
2 | 840, 265, 960 |
2 | 420, 265, 480 |
2 | 210, 265, 240 |
3 | 105, 265, 120 |
5 | 35, 265, 40 |
7, 53, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 53 x 8 = 356160
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 840,265,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,265,960) = 5
common factors(in case of two or more numbers have common factors) = 120
GCF(840,265,960) x common factors =5 x 120 = 600
LCM(840,265,960) = ( 840 × 265 × 960 ) / 600
LCM(840,265,960) = 213696000 / 600
LCM(840,265,960) = 356160
Lets's calculate GCF of 719,117,639
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356160/1
Therefore the LCM of Fractions 840/719,265/117,960/639 is 356160
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Greatest Common Factor
We found the factors 719,117,639 . The biggest common factor number is the GCF number.
So the greatest common factor 719,117,639 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 840/719, 265/117, 960/639?
Answer: LCM of Numerators as per given numbers 840/719, 265/117, 960/639 is
LCM of Numerators i.e. for 840,265,960 is 356160
GCF of denominators i.e. for 719,117,639 is 1.
Thus, LCM of Fractions is 356160.Finally, LCM of Fractions for 840/719, 265/117, 960/639 is 356160.