Least Common Multiple of 977/624, 8680/1894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/624, 8680/1894 quickly i.e. 4240180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/624, 8680/1894 is 4240180.

LCM(977/624, 8680/1894) = 4240180

LCM of 977/624, 8680/1894

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 977/624,8680/1894

Given numbers are 977/624,8680/1894

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 977,8680

Least Common Multiple of Numerators i.e. LCM of 977,8680 is 8480360.

GCF of Denominators means GCF of 624,1894 as per the given fractions.

GCF of 624,1894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,8680

LCM of Fractions 977/624,8680/1894 is 4240180

Given numbers has no common factors except 1. So, there LCM is their product i.e 8480360

Least Common Multiple of 977,8680 with GCF Formula

Least Common Multiple of 977,8680 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 977,8680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,8680) = 1

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

GCF(977,8680) x common factors =1 x 1 = 1

LCM(977,8680) = ( 977 × 8680 ) / 1

LCM(977,8680) = 8480360 / 1

LCM(977,8680) = 8480360


Lets's calculate GCF of 624,1894

2 624, 1894
312, 947

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8480360/2

Therefore the LCM of Fractions 977/624,8680/1894 is 4240180

Greatest Common Factor of 624,1894 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,1894 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 1894

List of positive integer factors of 1894 that divides 1894 without a remainder.

1,2,947,1894

Greatest Common Factor

We found the factors 624,1894 . The biggest common factor number is the GCF number.
So the greatest common factor 624,1894 is 2.


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 977/624, 8680/1894

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 977/624, 8680/1894?

Answer: LCM of Numerators as per given numbers 977/624, 8680/1894 is

LCM of Numerators i.e. for 977,8680 is 8480360

GCF of denominators i.e. for 624,1894 is 2.

Thus, LCM of Fractions is 4240180.Finally, LCM of Fractions for 977/624, 8680/1894 is 4240180.