Least Common Multiple of 62/54, 71/76, 58/96, 18/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/54, 71/76, 58/96, 18/170 quickly i.e. 574461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/54, 71/76, 58/96, 18/170 is 574461.

LCM(62/54, 71/76, 58/96, 18/170) = 574461

LCM of 62/54, 71/76, 58/96, 18/170

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 62/54,71/76,58/96,18/170

Given numbers are 62/54,71/76,58/96,18/170

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 62,71,58,18

Least Common Multiple of Numerators i.e. LCM of 62,71,58,18 is 1148922.

GCF of Denominators means GCF of 54,76,96,170 as per the given fractions.

GCF of 54,76,96,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,71,58,18

LCM of Fractions 62/54,71/76,58/96,18/170 is 574461

2 62, 71, 58, 18
31, 71, 29, 9

∴ So the LCM of the given numbers is 2 x 31 x 71 x 29 x 9 = 1148922

Least Common Multiple of 62,71,58,18 with GCF Formula

Least Common Multiple of 62,71,58,18 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 62,71,58,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,71,58,18) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(62,71,58,18) x common factors =1 x 4 = 4

LCM(62,71,58,18) = ( 62 × 71 × 58 × 18 ) / 4

LCM(62,71,58,18) = 4595688 / 4

LCM(62,71,58,18) = 1148922


Lets's calculate GCF of 54,76,96,170

2 54, 76, 96, 170
27, 38, 48, 85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1148922/2

Therefore the LCM of Fractions 62/54,71/76,58/96,18/170 is 574461

Greatest Common Factor of 54,76,96,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,76,96,170 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 54,76,96,170 . The biggest common factor number is the GCF number.
So the greatest common factor 54,76,96,170 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 62/54, 71/76, 58/96, 18/170

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 62/54, 71/76, 58/96, 18/170?

Answer: LCM of Numerators as per given numbers 62/54, 71/76, 58/96, 18/170 is

LCM of Numerators i.e. for 62,71,58,18 is 1148922

GCF of denominators i.e. for 54,76,96,170 is 2.

Thus, LCM of Fractions is 574461.Finally, LCM of Fractions for 62/54, 71/76, 58/96, 18/170 is 574461.