Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 780/696, 513/102, 946/271 quickly i.e. 63088740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 780/696, 513/102, 946/271 is 63088740.
LCM(780/696, 513/102, 946/271) = 63088740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 780/696,513/102,946/271
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 780,513,946
Least Common Multiple of Numerators i.e. LCM of 780,513,946 is 63088740.
GCF of Denominators means GCF of 696,102,271 as per the given fractions.
GCF of 696,102,271 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 780,513,946
2 | 780, 513, 946 |
3 | 390, 513, 473 |
130, 171, 473 |
∴ So the LCM of the given numbers is 2 x 3 x 130 x 171 x 473 = 63088740
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 780,513,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,513,946) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(780,513,946) x common factors =1 x 6 = 6
LCM(780,513,946) = ( 780 × 513 × 946 ) / 6
LCM(780,513,946) = 378532440 / 6
LCM(780,513,946) = 63088740
Lets's calculate GCF of 696,102,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63088740/1
Therefore the LCM of Fractions 780/696,513/102,946/271 is 63088740
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Greatest Common Factor
We found the factors 696,102,271 . The biggest common factor number is the GCF number.
So the greatest common factor 696,102,271 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 780/696, 513/102, 946/271?
Answer: LCM of Numerators as per given numbers 780/696, 513/102, 946/271 is
LCM of Numerators i.e. for 780,513,946 is 63088740
GCF of denominators i.e. for 696,102,271 is 1.
Thus, LCM of Fractions is 63088740.Finally, LCM of Fractions for 780/696, 513/102, 946/271 is 63088740.