Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/964, 16/546, 690/740 quickly i.e. 52440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/964, 16/546, 690/740 is 52440.
LCM(19/964, 16/546, 690/740) = 52440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/964,16/546,690/740
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 19,16,690
Least Common Multiple of Numerators i.e. LCM of 19,16,690 is 104880.
GCF of Denominators means GCF of 964,546,740 as per the given fractions.
GCF of 964,546,740 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,16,690
2 | 19, 16, 690 |
19, 8, 345 |
∴ So the LCM of the given numbers is 2 x 19 x 8 x 345 = 104880
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 19,16,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,16,690) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(19,16,690) x common factors =1 x 2 = 2
LCM(19,16,690) = ( 19 × 16 × 690 ) / 2
LCM(19,16,690) = 209760 / 2
LCM(19,16,690) = 104880
Lets's calculate GCF of 964,546,740
2 | 964, 546, 740 |
482, 273, 370 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104880/2
Therefore the LCM of Fractions 19/964,16/546,690/740 is 52440
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 964,546,740 . The biggest common factor number is the GCF number.
So the greatest common factor 964,546,740 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 19/964, 16/546, 690/740?
Answer: LCM of Numerators as per given numbers 19/964, 16/546, 690/740 is
LCM of Numerators i.e. for 19,16,690 is 104880
GCF of denominators i.e. for 964,546,740 is 2.
Thus, LCM of Fractions is 52440.Finally, LCM of Fractions for 19/964, 16/546, 690/740 is 52440.