Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9754/546, 2123/698 quickly i.e. 10353871 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9754/546, 2123/698 is 10353871.
LCM(9754/546, 2123/698) = 10353871
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9754/546,2123/698
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 9754,2123
Least Common Multiple of Numerators i.e. LCM of 9754,2123 is 20707742.
GCF of Denominators means GCF of 546,698 as per the given fractions.
GCF of 546,698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9754,2123
Given numbers has no common factors except 1. So, there LCM is their product i.e 20707742
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 9754,2123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9754,2123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9754,2123) x common factors =1 x 1 = 1
LCM(9754,2123) = ( 9754 × 2123 ) / 1
LCM(9754,2123) = 20707742 / 1
LCM(9754,2123) = 20707742
Lets's calculate GCF of 546,698
2 | 546, 698 |
273, 349 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20707742/2
Therefore the LCM of Fractions 9754/546,2123/698 is 10353871
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 546,698 . The biggest common factor number is the GCF number.
So the greatest common factor 546,698 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 9754/546, 2123/698?
Answer: LCM of Numerators as per given numbers 9754/546, 2123/698 is
LCM of Numerators i.e. for 9754,2123 is 20707742
GCF of denominators i.e. for 546,698 is 2.
Thus, LCM of Fractions is 10353871.Finally, LCM of Fractions for 9754/546, 2123/698 is 10353871.