Least Common Multiple of 374/527, 798/240, 179/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 374/527, 798/240, 179/685 quickly i.e. 26711454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/527, 798/240, 179/685 is 26711454.

LCM(374/527, 798/240, 179/685) = 26711454

LCM of 374/527, 798/240, 179/685

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 374/527,798/240,179/685

Given numbers are 374/527,798/240,179/685

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 374,798,179

Least Common Multiple of Numerators i.e. LCM of 374,798,179 is 26711454.

GCF of Denominators means GCF of 527,240,685 as per the given fractions.

GCF of 527,240,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,798,179

LCM of Fractions 374/527,798/240,179/685 is 26711454

2 374, 798, 179
187, 399, 179

∴ So the LCM of the given numbers is 2 x 187 x 399 x 179 = 26711454

Least Common Multiple of 374,798,179 with GCF Formula

Least Common Multiple of 374,798,179 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 374,798,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,798,179) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(374,798,179) x common factors =1 x 2 = 2

LCM(374,798,179) = ( 374 × 798 × 179 ) / 2

LCM(374,798,179) = 53422908 / 2

LCM(374,798,179) = 26711454


Lets's calculate GCF of 527,240,685

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26711454/1

Therefore the LCM of Fractions 374/527,798/240,179/685 is 26711454

Greatest Common Factor of 527,240,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,240,685 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 527,240,685 . The biggest common factor number is the GCF number.
So the greatest common factor 527,240,685 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 374/527, 798/240, 179/685

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 374/527, 798/240, 179/685?

Answer: LCM of Numerators as per given numbers 374/527, 798/240, 179/685 is

LCM of Numerators i.e. for 374,798,179 is 26711454

GCF of denominators i.e. for 527,240,685 is 1.

Thus, LCM of Fractions is 26711454.Finally, LCM of Fractions for 374/527, 798/240, 179/685 is 26711454.