Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/532, 754/108, 937/645 quickly i.e. 33205406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/532, 754/108, 937/645 is 33205406.
LCM(94/532, 754/108, 937/645) = 33205406
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/532,754/108,937/645
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 94,754,937
Least Common Multiple of Numerators i.e. LCM of 94,754,937 is 33205406.
GCF of Denominators means GCF of 532,108,645 as per the given fractions.
GCF of 532,108,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,754,937
2 | 94, 754, 937 |
47, 377, 937 |
∴ So the LCM of the given numbers is 2 x 47 x 377 x 937 = 33205406
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 94,754,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,754,937) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,754,937) x common factors =1 x 2 = 2
LCM(94,754,937) = ( 94 × 754 × 937 ) / 2
LCM(94,754,937) = 66410812 / 2
LCM(94,754,937) = 33205406
Lets's calculate GCF of 532,108,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33205406/1
Therefore the LCM of Fractions 94/532,754/108,937/645 is 33205406
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 532,108,645 . The biggest common factor number is the GCF number.
So the greatest common factor 532,108,645 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 94/532, 754/108, 937/645?
Answer: LCM of Numerators as per given numbers 94/532, 754/108, 937/645 is
LCM of Numerators i.e. for 94,754,937 is 33205406
GCF of denominators i.e. for 532,108,645 is 1.
Thus, LCM of Fractions is 33205406.Finally, LCM of Fractions for 94/532, 754/108, 937/645 is 33205406.