Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/522, 430/308, 980/120 quickly i.e. 21070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/522, 430/308, 980/120 is 21070.
LCM(70/522, 430/308, 980/120) = 21070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/522,430/308,980/120
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 70,430,980
Least Common Multiple of Numerators i.e. LCM of 70,430,980 is 42140.
GCF of Denominators means GCF of 522,308,120 as per the given fractions.
GCF of 522,308,120 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,430,980
2 | 70, 430, 980 |
5 | 35, 215, 490 |
7 | 7, 43, 98 |
1, 43, 14 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 43 x 14 = 42140
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 70,430,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,430,980) = 10
common factors(in case of two or more numbers have common factors) = 70
GCF(70,430,980) x common factors =10 x 70 = 700
LCM(70,430,980) = ( 70 × 430 × 980 ) / 700
LCM(70,430,980) = 29498000 / 700
LCM(70,430,980) = 42140
Lets's calculate GCF of 522,308,120
2 | 522, 308, 120 |
261, 154, 60 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42140/2
Therefore the LCM of Fractions 70/522,430/308,980/120 is 21070
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 522,308,120 . The biggest common factor number is the GCF number.
So the greatest common factor 522,308,120 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 70/522, 430/308, 980/120?
Answer: LCM of Numerators as per given numbers 70/522, 430/308, 980/120 is
LCM of Numerators i.e. for 70,430,980 is 42140
GCF of denominators i.e. for 522,308,120 is 2.
Thus, LCM of Fractions is 21070.Finally, LCM of Fractions for 70/522, 430/308, 980/120 is 21070.