Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 702/49, 980/40, 376/42 quickly i.e. 32334120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 702/49, 980/40, 376/42 is 32334120.
LCM(702/49, 980/40, 376/42) = 32334120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 702/49,980/40,376/42
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 702,980,376
Least Common Multiple of Numerators i.e. LCM of 702,980,376 is 32334120.
GCF of Denominators means GCF of 49,40,42 as per the given fractions.
GCF of 49,40,42 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 702,980,376
2 | 702, 980, 376 |
2 | 351, 490, 188 |
351, 245, 94 |
∴ So the LCM of the given numbers is 2 x 2 x 351 x 245 x 94 = 32334120
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 702,980,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,980,376) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(702,980,376) x common factors =2 x 4 = 8
LCM(702,980,376) = ( 702 × 980 × 376 ) / 8
LCM(702,980,376) = 258672960 / 8
LCM(702,980,376) = 32334120
Lets's calculate GCF of 49,40,42
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32334120/1
Therefore the LCM of Fractions 702/49,980/40,376/42 is 32334120
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Greatest Common Factor
We found the factors 49,40,42 . The biggest common factor number is the GCF number.
So the greatest common factor 49,40,42 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 702/49, 980/40, 376/42?
Answer: LCM of Numerators as per given numbers 702/49, 980/40, 376/42 is
LCM of Numerators i.e. for 702,980,376 is 32334120
GCF of denominators i.e. for 49,40,42 is 1.
Thus, LCM of Fractions is 32334120.Finally, LCM of Fractions for 702/49, 980/40, 376/42 is 32334120.