Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/944, 889/156, 210/907 quickly i.e. 906780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/944, 889/156, 210/907 is 906780.
LCM(68/944, 889/156, 210/907) = 906780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/944,889/156,210/907
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 68,889,210
Least Common Multiple of Numerators i.e. LCM of 68,889,210 is 906780.
GCF of Denominators means GCF of 944,156,907 as per the given fractions.
GCF of 944,156,907 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,889,210
2 | 68, 889, 210 |
7 | 34, 889, 105 |
34, 127, 15 |
∴ So the LCM of the given numbers is 2 x 7 x 34 x 127 x 15 = 906780
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 68,889,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,889,210) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(68,889,210) x common factors =1 x 14 = 14
LCM(68,889,210) = ( 68 × 889 × 210 ) / 14
LCM(68,889,210) = 12694920 / 14
LCM(68,889,210) = 906780
Lets's calculate GCF of 944,156,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 906780/1
Therefore the LCM of Fractions 68/944,889/156,210/907 is 906780
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Greatest Common Factor
We found the factors 944,156,907 . The biggest common factor number is the GCF number.
So the greatest common factor 944,156,907 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 68/944, 889/156, 210/907?
Answer: LCM of Numerators as per given numbers 68/944, 889/156, 210/907 is
LCM of Numerators i.e. for 68,889,210 is 906780
GCF of denominators i.e. for 944,156,907 is 1.
Thus, LCM of Fractions is 906780.Finally, LCM of Fractions for 68/944, 889/156, 210/907 is 906780.