Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 639/877, 501/696, 838/382 quickly i.e. 89425494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 639/877, 501/696, 838/382 is 89425494.
LCM(639/877, 501/696, 838/382) = 89425494
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 639/877,501/696,838/382
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 639,501,838
Least Common Multiple of Numerators i.e. LCM of 639,501,838 is 89425494.
GCF of Denominators means GCF of 877,696,382 as per the given fractions.
GCF of 877,696,382 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 639,501,838
3 | 639, 501, 838 |
213, 167, 838 |
∴ So the LCM of the given numbers is 3 x 213 x 167 x 838 = 89425494
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 639,501,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,501,838) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(639,501,838) x common factors =1 x 3 = 3
LCM(639,501,838) = ( 639 × 501 × 838 ) / 3
LCM(639,501,838) = 268276482 / 3
LCM(639,501,838) = 89425494
Lets's calculate GCF of 877,696,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89425494/1
Therefore the LCM of Fractions 639/877,501/696,838/382 is 89425494
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 877,696,382 . The biggest common factor number is the GCF number.
So the greatest common factor 877,696,382 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 639/877, 501/696, 838/382?
Answer: LCM of Numerators as per given numbers 639/877, 501/696, 838/382 is
LCM of Numerators i.e. for 639,501,838 is 89425494
GCF of denominators i.e. for 877,696,382 is 1.
Thus, LCM of Fractions is 89425494.Finally, LCM of Fractions for 639/877, 501/696, 838/382 is 89425494.