Least Common Multiple of 6285/175, 3169/4872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6285/175, 3169/4872 quickly i.e. 19917165/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6285/175, 3169/4872 is 19917165/7.

LCM(6285/175, 3169/4872) = 19917165/7

LCM of 6285/175, 3169/4872

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 6285/175,3169/4872

Given numbers are 6285/175,3169/4872

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 6285,3169

Least Common Multiple of Numerators i.e. LCM of 6285,3169 is 19917165.

GCF of Denominators means GCF of 175,4872 as per the given fractions.

GCF of 175,4872 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6285,3169

LCM of Fractions 6285/175,3169/4872 is 19917165/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 19917165

Least Common Multiple of 6285,3169 with GCF Formula

Least Common Multiple of 6285,3169 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 6285,3169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6285,3169) = 1

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

GCF(6285,3169) x common factors =1 x 1 = 1

LCM(6285,3169) = ( 6285 × 3169 ) / 1

LCM(6285,3169) = 19917165 / 1

LCM(6285,3169) = 19917165


Lets's calculate GCF of 175,4872

7 175, 4872
25, 696

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19917165/7

Therefore the LCM of Fractions 6285/175,3169/4872 is 19917165/7

Greatest Common Factor of 175,4872 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,4872 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872

Greatest Common Factor

We found the factors 175,4872 . The biggest common factor number is the GCF number.
So the greatest common factor 175,4872 is 7.


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 6285/175, 3169/4872

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 6285/175, 3169/4872?

Answer: LCM of Numerators as per given numbers 6285/175, 3169/4872 is

LCM of Numerators i.e. for 6285,3169 is 19917165

GCF of denominators i.e. for 175,4872 is 7.

Thus, LCM of Fractions is 19917165/7.Finally, LCM of Fractions for 6285/175, 3169/4872 is 19917165/7.