Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 749/250, 1414/624 quickly i.e. 75649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 749/250, 1414/624 is 75649.
LCM(749/250, 1414/624) = 75649
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 749/250,1414/624
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 749,1414
Least Common Multiple of Numerators i.e. LCM of 749,1414 is 151298.
GCF of Denominators means GCF of 250,624 as per the given fractions.
GCF of 250,624 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 749,1414
7 | 749, 1414 |
107, 202 |
∴ So the LCM of the given numbers is 7 x 107 x 202 = 151298
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 749,1414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,1414) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,1414) x common factors =7 x 1 = 7
LCM(749,1414) = ( 749 × 1414 ) / 7
LCM(749,1414) = 1059086 / 7
LCM(749,1414) = 151298
Lets's calculate GCF of 250,624
2 | 250, 624 |
125, 312 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151298/2
Therefore the LCM of Fractions 749/250,1414/624 is 75649
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 250,624 . The biggest common factor number is the GCF number.
So the greatest common factor 250,624 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 749/250, 1414/624?
Answer: LCM of Numerators as per given numbers 749/250, 1414/624 is
LCM of Numerators i.e. for 749,1414 is 151298
GCF of denominators i.e. for 250,624 is 2.
Thus, LCM of Fractions is 75649.Finally, LCM of Fractions for 749/250, 1414/624 is 75649.