Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/49, 29/84, 770/840 quickly i.e. 149930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/49, 29/84, 770/840 is 149930.
LCM(47/49, 29/84, 770/840) = 149930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/49,29/84,770/840
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 47,29,770
Least Common Multiple of Numerators i.e. LCM of 47,29,770 is 1049510.
GCF of Denominators means GCF of 49,84,840 as per the given fractions.
GCF of 49,84,840 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,29,770
Given numbers has no common factors except 1. So, there LCM is their product i.e 1049510
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 47,29,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,29,770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,29,770) x common factors =1 x 1 = 1
LCM(47,29,770) = ( 47 × 29 × 770 ) / 1
LCM(47,29,770) = 1049510 / 1
LCM(47,29,770) = 1049510
Lets's calculate GCF of 49,84,840
7 | 49, 84, 840 |
7, 12, 120 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1049510/7
Therefore the LCM of Fractions 47/49,29/84,770/840 is 149930
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 49,84,840 . The biggest common factor number is the GCF number.
So the greatest common factor 49,84,840 is 7.
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 47/49, 29/84, 770/840?
Answer: LCM of Numerators as per given numbers 47/49, 29/84, 770/840 is
LCM of Numerators i.e. for 47,29,770 is 1049510
GCF of denominators i.e. for 49,84,840 is 7.
Thus, LCM of Fractions is 149930.Finally, LCM of Fractions for 47/49, 29/84, 770/840 is 149930.