Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/624, 90/155, 654/680 quickly i.e. 284490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/624, 90/155, 654/680 is 284490.
LCM(87/624, 90/155, 654/680) = 284490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/624,90/155,654/680
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 87,90,654
Least Common Multiple of Numerators i.e. LCM of 87,90,654 is 284490.
GCF of Denominators means GCF of 624,155,680 as per the given fractions.
GCF of 624,155,680 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,90,654
2 | 87, 90, 654 |
3 | 87, 45, 327 |
29, 15, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 15 x 109 = 284490
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 87,90,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,90,654) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(87,90,654) x common factors =3 x 6 = 18
LCM(87,90,654) = ( 87 × 90 × 654 ) / 18
LCM(87,90,654) = 5120820 / 18
LCM(87,90,654) = 284490
Lets's calculate GCF of 624,155,680
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284490/1
Therefore the LCM of Fractions 87/624,90/155,654/680 is 284490
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 624,155,680 . The biggest common factor number is the GCF number.
So the greatest common factor 624,155,680 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 87/624, 90/155, 654/680?
Answer: LCM of Numerators as per given numbers 87/624, 90/155, 654/680 is
LCM of Numerators i.e. for 87,90,654 is 284490
GCF of denominators i.e. for 624,155,680 is 1.
Thus, LCM of Fractions is 284490.Finally, LCM of Fractions for 87/624, 90/155, 654/680 is 284490.