Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 317/776, 236/544, 126/282 quickly i.e. 2356578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 317/776, 236/544, 126/282 is 2356578.
LCM(317/776, 236/544, 126/282) = 2356578
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 317/776,236/544,126/282
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 317,236,126
Least Common Multiple of Numerators i.e. LCM of 317,236,126 is 4713156.
GCF of Denominators means GCF of 776,544,282 as per the given fractions.
GCF of 776,544,282 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 317,236,126
2 | 317, 236, 126 |
317, 118, 63 |
∴ So the LCM of the given numbers is 2 x 317 x 118 x 63 = 4713156
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 317,236,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,236,126) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(317,236,126) x common factors =1 x 2 = 2
LCM(317,236,126) = ( 317 × 236 × 126 ) / 2
LCM(317,236,126) = 9426312 / 2
LCM(317,236,126) = 4713156
Lets's calculate GCF of 776,544,282
2 | 776, 544, 282 |
388, 272, 141 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4713156/2
Therefore the LCM of Fractions 317/776,236/544,126/282 is 2356578
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
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 776,544,282 . The biggest common factor number is the GCF number.
So the greatest common factor 776,544,282 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 317/776, 236/544, 126/282?
Answer: LCM of Numerators as per given numbers 317/776, 236/544, 126/282 is
LCM of Numerators i.e. for 317,236,126 is 4713156
GCF of denominators i.e. for 776,544,282 is 2.
Thus, LCM of Fractions is 2356578.Finally, LCM of Fractions for 317/776, 236/544, 126/282 is 2356578.