Least Common Multiple of 3173/672, 7979/6840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3173/672, 7979/6840 quickly i.e. 25317367/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3173/672, 7979/6840 is 25317367/24.

LCM(3173/672, 7979/6840) = 25317367/24

LCM of 3173/672, 7979/6840

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 3173/672,7979/6840

Given numbers are 3173/672,7979/6840

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 3173,7979

Least Common Multiple of Numerators i.e. LCM of 3173,7979 is 25317367.

GCF of Denominators means GCF of 672,6840 as per the given fractions.

GCF of 672,6840 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3173,7979

LCM of Fractions 3173/672,7979/6840 is 25317367/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 25317367

Least Common Multiple of 3173,7979 with GCF Formula

Least Common Multiple of 3173,7979 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 3173,7979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3173,7979) = 1

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

GCF(3173,7979) x common factors =1 x 1 = 1

LCM(3173,7979) = ( 3173 × 7979 ) / 1

LCM(3173,7979) = 25317367 / 1

LCM(3173,7979) = 25317367


Lets's calculate GCF of 672,6840

2 672, 6840
2 336, 3420
2 168, 1710
3 84, 855
28, 285

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25317367/24

Therefore the LCM of Fractions 3173/672,7979/6840 is 25317367/24

Greatest Common Factor of 672,6840 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,6840 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 6840

List of positive integer factors of 6840 that divides 6840 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,19,20,24,30,36,38,40,45,57,60,72,76,90,95,114,120,152,171,180,190,228,285,342,360,380,456,570,684,760,855,1140,1368,1710,2280,3420,6840

Greatest Common Factor

We found the factors 672,6840 . The biggest common factor number is the GCF number.
So the greatest common factor 672,6840 is 24.


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 3173/672, 7979/6840

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 3173/672, 7979/6840?

Answer: LCM of Numerators as per given numbers 3173/672, 7979/6840 is

LCM of Numerators i.e. for 3173,7979 is 25317367

GCF of denominators i.e. for 672,6840 is 24.

Thus, LCM of Fractions is 25317367/24.Finally, LCM of Fractions for 3173/672, 7979/6840 is 25317367/24.