Least Common Multiple of 5924/171, 1468/8253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5924/171, 1468/8253 quickly i.e. 2174108/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5924/171, 1468/8253 is 2174108/9.

LCM(5924/171, 1468/8253) = 2174108/9

LCM of 5924/171, 1468/8253

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 5924/171,1468/8253

Given numbers are 5924/171,1468/8253

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 5924,1468

Least Common Multiple of Numerators i.e. LCM of 5924,1468 is 2174108.

GCF of Denominators means GCF of 171,8253 as per the given fractions.

GCF of 171,8253 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5924,1468

LCM of Fractions 5924/171,1468/8253 is 2174108/9

2 5924, 1468
2 2962, 734
1481, 367

∴ So the LCM of the given numbers is 2 x 2 x 1481 x 367 = 2174108

Least Common Multiple of 5924,1468 with GCF Formula

Least Common Multiple of 5924,1468 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 5924,1468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5924,1468) = 4

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

GCF(5924,1468) x common factors =4 x 1 = 4

LCM(5924,1468) = ( 5924 × 1468 ) / 4

LCM(5924,1468) = 8696432 / 4

LCM(5924,1468) = 2174108


Lets's calculate GCF of 171,8253

3 171, 8253
3 57, 2751
19, 917

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2174108/9

Therefore the LCM of Fractions 5924/171,1468/8253 is 2174108/9

Greatest Common Factor of 171,8253 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,8253 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 8253

List of positive integer factors of 8253 that divides 8253 without a remainder.

1,3,7,9,21,63,131,393,917,1179,2751,8253

Greatest Common Factor

We found the factors 171,8253 . The biggest common factor number is the GCF number.
So the greatest common factor 171,8253 is 9.


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 5924/171, 1468/8253

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 5924/171, 1468/8253?

Answer: LCM of Numerators as per given numbers 5924/171, 1468/8253 is

LCM of Numerators i.e. for 5924,1468 is 2174108

GCF of denominators i.e. for 171,8253 is 9.

Thus, LCM of Fractions is 2174108/9.Finally, LCM of Fractions for 5924/171, 1468/8253 is 2174108/9.