Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/182, 701/836, 362/282 quickly i.e. 3806430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/182, 701/836, 362/282 is 3806430.
LCM(60/182, 701/836, 362/282) = 3806430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/182,701/836,362/282
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 60,701,362
Least Common Multiple of Numerators i.e. LCM of 60,701,362 is 7612860.
GCF of Denominators means GCF of 182,836,282 as per the given fractions.
GCF of 182,836,282 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,701,362
2 | 60, 701, 362 |
30, 701, 181 |
∴ So the LCM of the given numbers is 2 x 30 x 701 x 181 = 7612860
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 60,701,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,701,362) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(60,701,362) x common factors =1 x 2 = 2
LCM(60,701,362) = ( 60 × 701 × 362 ) / 2
LCM(60,701,362) = 15225720 / 2
LCM(60,701,362) = 7612860
Lets's calculate GCF of 182,836,282
2 | 182, 836, 282 |
91, 418, 141 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7612860/2
Therefore the LCM of Fractions 60/182,701/836,362/282 is 3806430
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 182,836,282 . The biggest common factor number is the GCF number.
So the greatest common factor 182,836,282 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 60/182, 701/836, 362/282?
Answer: LCM of Numerators as per given numbers 60/182, 701/836, 362/282 is
LCM of Numerators i.e. for 60,701,362 is 7612860
GCF of denominators i.e. for 182,836,282 is 2.
Thus, LCM of Fractions is 3806430.Finally, LCM of Fractions for 60/182, 701/836, 362/282 is 3806430.