Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/56, 90/46, 70/71, 14/742 quickly i.e. 2520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/56, 90/46, 70/71, 14/742 is 2520.
LCM(56/56, 90/46, 70/71, 14/742) = 2520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/56,90/46,70/71,14/742
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 56,90,70,14
Least Common Multiple of Numerators i.e. LCM of 56,90,70,14 is 2520.
GCF of Denominators means GCF of 56,46,71,742 as per the given fractions.
GCF of 56,46,71,742 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,90,70,14
2 | 56, 90, 70, 14 |
5 | 28, 45, 35, 7 |
7 | 28, 9, 7, 7 |
4, 9, 1, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 4 x 9 x 1 x 1 = 2520
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 56,90,70,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,90,70,14) = 2
common factors(in case of two or more numbers have common factors) = 980
GCF(56,90,70,14) x common factors =2 x 980 = 1960
LCM(56,90,70,14) = ( 56 × 90 × 70 × 14 ) / 1960
LCM(56,90,70,14) = 4939200 / 1960
LCM(56,90,70,14) = 2520
Lets's calculate GCF of 56,46,71,742
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2520/1
Therefore the LCM of Fractions 56/56,90/46,70/71,14/742 is 2520
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 56,46,71,742 . The biggest common factor number is the GCF number.
So the greatest common factor 56,46,71,742 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 56/56, 90/46, 70/71, 14/742?
Answer: LCM of Numerators as per given numbers 56/56, 90/46, 70/71, 14/742 is
LCM of Numerators i.e. for 56,90,70,14 is 2520
GCF of denominators i.e. for 56,46,71,742 is 1.
Thus, LCM of Fractions is 2520.Finally, LCM of Fractions for 56/56, 90/46, 70/71, 14/742 is 2520.