Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 924/78, 703/1898 quickly i.e. 649572/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 924/78, 703/1898 is 649572/26.
LCM(924/78, 703/1898) = 649572/26
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 924/78,703/1898
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 924,703
Least Common Multiple of Numerators i.e. LCM of 924,703 is 649572.
GCF of Denominators means GCF of 78,1898 as per the given fractions.
GCF of 78,1898 is 26 as it is the largest common factor for these numbers.
Lets's calculate LCM of 924,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 649572
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 924,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,703) x common factors =1 x 1 = 1
LCM(924,703) = ( 924 × 703 ) / 1
LCM(924,703) = 649572 / 1
LCM(924,703) = 649572
Lets's calculate GCF of 78,1898
2 | 78, 1898 |
13 | 39, 949 |
3, 73 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 649572/26
Therefore the LCM of Fractions 924/78,703/1898 is 649572/26
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 1898
List of positive integer factors of 1898 that divides 1898 without a remainder.
1,2,13,26,73,146,949,1898
Greatest Common Factor
We found the factors 78,1898 . The biggest common factor number is the GCF number.
So the greatest common factor 78,1898 is 26.
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 924/78, 703/1898?
Answer: LCM of Numerators as per given numbers 924/78, 703/1898 is
LCM of Numerators i.e. for 924,703 is 649572
GCF of denominators i.e. for 78,1898 is 26.
Thus, LCM of Fractions is 649572/26.Finally, LCM of Fractions for 924/78, 703/1898 is 649572/26.