Least Common Multiple of 55/489, 85/581, 278/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/489, 85/581, 278/930 quickly i.e. 259930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/489, 85/581, 278/930 is 259930.

LCM(55/489, 85/581, 278/930) = 259930

LCM of 55/489, 85/581, 278/930

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 55/489,85/581,278/930

Given numbers are 55/489,85/581,278/930

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 55,85,278

Least Common Multiple of Numerators i.e. LCM of 55,85,278 is 259930.

GCF of Denominators means GCF of 489,581,930 as per the given fractions.

GCF of 489,581,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,85,278

LCM of Fractions 55/489,85/581,278/930 is 259930

5 55, 85, 278
11, 17, 278

∴ So the LCM of the given numbers is 5 x 11 x 17 x 278 = 259930

Least Common Multiple of 55,85,278 with GCF Formula

Least Common Multiple of 55,85,278 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 55,85,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,85,278) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,85,278) x common factors =1 x 5 = 5

LCM(55,85,278) = ( 55 × 85 × 278 ) / 5

LCM(55,85,278) = 1299650 / 5

LCM(55,85,278) = 259930


Lets's calculate GCF of 489,581,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259930/1

Therefore the LCM of Fractions 55/489,85/581,278/930 is 259930

Greatest Common Factor of 489,581,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,581,930 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 489,581,930 . The biggest common factor number is the GCF number.
So the greatest common factor 489,581,930 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 55/489, 85/581, 278/930

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 55/489, 85/581, 278/930?

Answer: LCM of Numerators as per given numbers 55/489, 85/581, 278/930 is

LCM of Numerators i.e. for 55,85,278 is 259930

GCF of denominators i.e. for 489,581,930 is 1.

Thus, LCM of Fractions is 259930.Finally, LCM of Fractions for 55/489, 85/581, 278/930 is 259930.