Least Common Multiple of 385/548, 537/367, 879/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/548, 537/367, 879/924 quickly i.e. 60576285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/548, 537/367, 879/924 is 60576285.

LCM(385/548, 537/367, 879/924) = 60576285

LCM of 385/548, 537/367, 879/924

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 385/548,537/367,879/924

Given numbers are 385/548,537/367,879/924

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 385,537,879

Least Common Multiple of Numerators i.e. LCM of 385,537,879 is 60576285.

GCF of Denominators means GCF of 548,367,924 as per the given fractions.

GCF of 548,367,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,537,879

LCM of Fractions 385/548,537/367,879/924 is 60576285

3 385, 537, 879
385, 179, 293

∴ So the LCM of the given numbers is 3 x 385 x 179 x 293 = 60576285

Least Common Multiple of 385,537,879 with GCF Formula

Least Common Multiple of 385,537,879 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 385,537,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,537,879) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(385,537,879) x common factors =1 x 3 = 3

LCM(385,537,879) = ( 385 × 537 × 879 ) / 3

LCM(385,537,879) = 181728855 / 3

LCM(385,537,879) = 60576285


Lets's calculate GCF of 548,367,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60576285/1

Therefore the LCM of Fractions 385/548,537/367,879/924 is 60576285

Greatest Common Factor of 548,367,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,367,924 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 548,367,924 . The biggest common factor number is the GCF number.
So the greatest common factor 548,367,924 is 1.


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 385/548, 537/367, 879/924

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 385/548, 537/367, 879/924?

Answer: LCM of Numerators as per given numbers 385/548, 537/367, 879/924 is

LCM of Numerators i.e. for 385,537,879 is 60576285

GCF of denominators i.e. for 548,367,924 is 1.

Thus, LCM of Fractions is 60576285.Finally, LCM of Fractions for 385/548, 537/367, 879/924 is 60576285.