Least Common Multiple of 49/624, 8718/1095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/624, 8718/1095 quickly i.e. 142394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/624, 8718/1095 is 142394.

LCM(49/624, 8718/1095) = 142394

LCM of 49/624, 8718/1095

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 49/624,8718/1095

Given numbers are 49/624,8718/1095

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 49,8718

Least Common Multiple of Numerators i.e. LCM of 49,8718 is 427182.

GCF of Denominators means GCF of 624,1095 as per the given fractions.

GCF of 624,1095 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,8718

LCM of Fractions 49/624,8718/1095 is 142394

Given numbers has no common factors except 1. So, there LCM is their product i.e 427182

Least Common Multiple of 49,8718 with GCF Formula

Least Common Multiple of 49,8718 with GCF Formula

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 49,8718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,8718) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(49,8718) x common factors =1 x 1 = 1

LCM(49,8718) = ( 49 × 8718 ) / 1

LCM(49,8718) = 427182 / 1

LCM(49,8718) = 427182


Lets's calculate GCF of 624,1095

3 624, 1095
208, 365

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427182/3

Therefore the LCM of Fractions 49/624,8718/1095 is 142394

Greatest Common Factor of 624,1095 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,1095 By Matching Biggest Common Factor Method

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 1095

List of positive integer factors of 1095 that divides 1095 without a remainder.

1,3,5,15,73,219,365,1095

Greatest Common Factor

We found the factors 624,1095 . The biggest common factor number is the GCF number.
So the greatest common factor 624,1095 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 49/624, 8718/1095

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 49/624, 8718/1095?

Answer: LCM of Numerators as per given numbers 49/624, 8718/1095 is

LCM of Numerators i.e. for 49,8718 is 427182

GCF of denominators i.e. for 624,1095 is 3.

Thus, LCM of Fractions is 142394.Finally, LCM of Fractions for 49/624, 8718/1095 is 142394.