Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/249, 62/830, 105/967 quickly i.e. 6510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/249, 62/830, 105/967 is 6510.
LCM(42/249, 62/830, 105/967) = 6510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/249,62/830,105/967
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 42,62,105
Least Common Multiple of Numerators i.e. LCM of 42,62,105 is 6510.
GCF of Denominators means GCF of 249,830,967 as per the given fractions.
GCF of 249,830,967 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,62,105
2 | 42, 62, 105 |
3 | 21, 31, 105 |
7 | 7, 31, 35 |
1, 31, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 31 x 5 = 6510
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 42,62,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,62,105) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(42,62,105) x common factors =1 x 42 = 42
LCM(42,62,105) = ( 42 × 62 × 105 ) / 42
LCM(42,62,105) = 273420 / 42
LCM(42,62,105) = 6510
Lets's calculate GCF of 249,830,967
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6510/1
Therefore the LCM of Fractions 42/249,62/830,105/967 is 6510
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Greatest Common Factor
We found the factors 249,830,967 . The biggest common factor number is the GCF number.
So the greatest common factor 249,830,967 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 42/249, 62/830, 105/967?
Answer: LCM of Numerators as per given numbers 42/249, 62/830, 105/967 is
LCM of Numerators i.e. for 42,62,105 is 6510
GCF of denominators i.e. for 249,830,967 is 1.
Thus, LCM of Fractions is 6510.Finally, LCM of Fractions for 42/249, 62/830, 105/967 is 6510.