Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 979/143, 374/700 quickly i.e. 33286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 979/143, 374/700 is 33286.
LCM(979/143, 374/700) = 33286
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 979/143,374/700
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 979,374
Least Common Multiple of Numerators i.e. LCM of 979,374 is 33286.
GCF of Denominators means GCF of 143,700 as per the given fractions.
GCF of 143,700 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 979,374
11 | 979, 374 |
89, 34 |
∴ So the LCM of the given numbers is 11 x 89 x 34 = 33286
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 979,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,374) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(979,374) x common factors =11 x 1 = 11
LCM(979,374) = ( 979 × 374 ) / 11
LCM(979,374) = 366146 / 11
LCM(979,374) = 33286
Lets's calculate GCF of 143,700
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33286/1
Therefore the LCM of Fractions 979/143,374/700 is 33286
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 143,700 . The biggest common factor number is the GCF number.
So the greatest common factor 143,700 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 979/143, 374/700?
Answer: LCM of Numerators as per given numbers 979/143, 374/700 is
LCM of Numerators i.e. for 979,374 is 33286
GCF of denominators i.e. for 143,700 is 1.
Thus, LCM of Fractions is 33286.Finally, LCM of Fractions for 979/143, 374/700 is 33286.