Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/126, 657/877, 934/485 quickly i.e. 28227348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/126, 657/877, 934/485 is 28227348.
LCM(92/126, 657/877, 934/485) = 28227348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/126,657/877,934/485
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 92,657,934
Least Common Multiple of Numerators i.e. LCM of 92,657,934 is 28227348.
GCF of Denominators means GCF of 126,877,485 as per the given fractions.
GCF of 126,877,485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,657,934
2 | 92, 657, 934 |
46, 657, 467 |
∴ So the LCM of the given numbers is 2 x 46 x 657 x 467 = 28227348
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 92,657,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,657,934) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(92,657,934) x common factors =1 x 2 = 2
LCM(92,657,934) = ( 92 × 657 × 934 ) / 2
LCM(92,657,934) = 56454696 / 2
LCM(92,657,934) = 28227348
Lets's calculate GCF of 126,877,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28227348/1
Therefore the LCM of Fractions 92/126,657/877,934/485 is 28227348
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 126,877,485 . The biggest common factor number is the GCF number.
So the greatest common factor 126,877,485 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 92/126, 657/877, 934/485?
Answer: LCM of Numerators as per given numbers 92/126, 657/877, 934/485 is
LCM of Numerators i.e. for 92,657,934 is 28227348
GCF of denominators i.e. for 126,877,485 is 1.
Thus, LCM of Fractions is 28227348.Finally, LCM of Fractions for 92/126, 657/877, 934/485 is 28227348.