Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 749/700, 812/190 quickly i.e. 86884/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 749/700, 812/190 is 86884/10.
LCM(749/700, 812/190) = 86884/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 749/700,812/190
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 749,812
Least Common Multiple of Numerators i.e. LCM of 749,812 is 86884.
GCF of Denominators means GCF of 700,190 as per the given fractions.
GCF of 700,190 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 749,812
7 | 749, 812 |
107, 116 |
∴ So the LCM of the given numbers is 7 x 107 x 116 = 86884
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 749,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,812) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,812) x common factors =7 x 1 = 7
LCM(749,812) = ( 749 × 812 ) / 7
LCM(749,812) = 608188 / 7
LCM(749,812) = 86884
Lets's calculate GCF of 700,190
2 | 700, 190 |
5 | 350, 95 |
70, 19 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86884/10
Therefore the LCM of Fractions 749/700,812/190 is 86884/10
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
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 700,190 . The biggest common factor number is the GCF number.
So the greatest common factor 700,190 is 10.
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 749/700, 812/190?
Answer: LCM of Numerators as per given numbers 749/700, 812/190 is
LCM of Numerators i.e. for 749,812 is 86884
GCF of denominators i.e. for 700,190 is 10.
Thus, LCM of Fractions is 86884/10.Finally, LCM of Fractions for 749/700, 812/190 is 86884/10.