Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 714/790, 2700/392 quickly i.e. 160650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 714/790, 2700/392 is 160650.
LCM(714/790, 2700/392) = 160650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 714/790,2700/392
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 714,2700
Least Common Multiple of Numerators i.e. LCM of 714,2700 is 321300.
GCF of Denominators means GCF of 790,392 as per the given fractions.
GCF of 790,392 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 714,2700
2 | 714, 2700 |
3 | 357, 1350 |
119, 450 |
∴ So the LCM of the given numbers is 2 x 3 x 119 x 450 = 321300
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 714,2700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,2700) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(714,2700) x common factors =6 x 1 = 6
LCM(714,2700) = ( 714 × 2700 ) / 6
LCM(714,2700) = 1927800 / 6
LCM(714,2700) = 321300
Lets's calculate GCF of 790,392
2 | 790, 392 |
395, 196 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321300/2
Therefore the LCM of Fractions 714/790,2700/392 is 160650
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 790,392 . The biggest common factor number is the GCF number.
So the greatest common factor 790,392 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 714/790, 2700/392?
Answer: LCM of Numerators as per given numbers 714/790, 2700/392 is
LCM of Numerators i.e. for 714,2700 is 321300
GCF of denominators i.e. for 790,392 is 2.
Thus, LCM of Fractions is 160650.Finally, LCM of Fractions for 714/790, 2700/392 is 160650.