Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 907/156, 8354/6290 quickly i.e. 3788539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 907/156, 8354/6290 is 3788539.
LCM(907/156, 8354/6290) = 3788539
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 907/156,8354/6290
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 907,8354
Least Common Multiple of Numerators i.e. LCM of 907,8354 is 7577078.
GCF of Denominators means GCF of 156,6290 as per the given fractions.
GCF of 156,6290 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 907,8354
Given numbers has no common factors except 1. So, there LCM is their product i.e 7577078
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 907,8354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,8354) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,8354) x common factors =1 x 1 = 1
LCM(907,8354) = ( 907 × 8354 ) / 1
LCM(907,8354) = 7577078 / 1
LCM(907,8354) = 7577078
Lets's calculate GCF of 156,6290
2 | 156, 6290 |
78, 3145 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7577078/2
Therefore the LCM of Fractions 907/156,8354/6290 is 3788539
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 6290
List of positive integer factors of 6290 that divides 6290 without a remainder.
1,2,5,10,17,34,37,74,85,170,185,370,629,1258,3145,6290
Greatest Common Factor
We found the factors 156,6290 . The biggest common factor number is the GCF number.
So the greatest common factor 156,6290 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 907/156, 8354/6290?
Answer: LCM of Numerators as per given numbers 907/156, 8354/6290 is
LCM of Numerators i.e. for 907,8354 is 7577078
GCF of denominators i.e. for 156,6290 is 2.
Thus, LCM of Fractions is 3788539.Finally, LCM of Fractions for 907/156, 8354/6290 is 3788539.