Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/84, 30/94, 738/610 quickly i.e. 84870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/84, 30/94, 738/610 is 84870.
LCM(92/84, 30/94, 738/610) = 84870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/84,30/94,738/610
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 92,30,738
Least Common Multiple of Numerators i.e. LCM of 92,30,738 is 169740.
GCF of Denominators means GCF of 84,94,610 as per the given fractions.
GCF of 84,94,610 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,30,738
2 | 92, 30, 738 |
3 | 46, 15, 369 |
46, 5, 123 |
∴ So the LCM of the given numbers is 2 x 3 x 46 x 5 x 123 = 169740
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 92,30,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,30,738) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(92,30,738) x common factors =2 x 6 = 12
LCM(92,30,738) = ( 92 × 30 × 738 ) / 12
LCM(92,30,738) = 2036880 / 12
LCM(92,30,738) = 169740
Lets's calculate GCF of 84,94,610
2 | 84, 94, 610 |
42, 47, 305 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169740/2
Therefore the LCM of Fractions 92/84,30/94,738/610 is 84870
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 84,94,610 . The biggest common factor number is the GCF number.
So the greatest common factor 84,94,610 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 92/84, 30/94, 738/610?
Answer: LCM of Numerators as per given numbers 92/84, 30/94, 738/610 is
LCM of Numerators i.e. for 92,30,738 is 169740
GCF of denominators i.e. for 84,94,610 is 2.
Thus, LCM of Fractions is 84870.Finally, LCM of Fractions for 92/84, 30/94, 738/610 is 84870.