Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1892/504, 7918/126 quickly i.e. 7490428/126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1892/504, 7918/126 is 7490428/126.
LCM(1892/504, 7918/126) = 7490428/126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1892/504,7918/126
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 1892,7918
Least Common Multiple of Numerators i.e. LCM of 1892,7918 is 7490428.
GCF of Denominators means GCF of 504,126 as per the given fractions.
GCF of 504,126 is 126 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1892,7918
2 | 1892, 7918 |
946, 3959 |
∴ So the LCM of the given numbers is 2 x 946 x 3959 = 7490428
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 1892,7918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1892,7918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1892,7918) x common factors =2 x 1 = 2
LCM(1892,7918) = ( 1892 × 7918 ) / 2
LCM(1892,7918) = 14980856 / 2
LCM(1892,7918) = 7490428
Lets's calculate GCF of 504,126
2 | 504, 126 |
3 | 252, 63 |
3 | 84, 21 |
7 | 28, 7 |
4, 1 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 7 = 126
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7490428/126
Therefore the LCM of Fractions 1892/504,7918/126 is 7490428/126
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 504,126 . The biggest common factor number is the GCF number.
So the greatest common factor 504,126 is 126.
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 1892/504, 7918/126?
Answer: LCM of Numerators as per given numbers 1892/504, 7918/126 is
LCM of Numerators i.e. for 1892,7918 is 7490428
GCF of denominators i.e. for 504,126 is 126.
Thus, LCM of Fractions is 7490428/126.Finally, LCM of Fractions for 1892/504, 7918/126 is 7490428/126.