Least Common Multiple of 55/95, 62/578, 864/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/95, 62/578, 864/400 quickly i.e. 1473120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/95, 62/578, 864/400 is 1473120.

LCM(55/95, 62/578, 864/400) = 1473120

LCM of 55/95, 62/578, 864/400

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 55/95,62/578,864/400

Given numbers are 55/95,62/578,864/400

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 55,62,864

Least Common Multiple of Numerators i.e. LCM of 55,62,864 is 1473120.

GCF of Denominators means GCF of 95,578,400 as per the given fractions.

GCF of 95,578,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,62,864

LCM of Fractions 55/95,62/578,864/400 is 1473120

2 55, 62, 864
55, 31, 432

∴ So the LCM of the given numbers is 2 x 55 x 31 x 432 = 1473120

Least Common Multiple of 55,62,864 with GCF Formula

Least Common Multiple of 55,62,864 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 55,62,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,62,864) = 1

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

GCF(55,62,864) x common factors =1 x 2 = 2

LCM(55,62,864) = ( 55 × 62 × 864 ) / 2

LCM(55,62,864) = 2946240 / 2

LCM(55,62,864) = 1473120


Lets's calculate GCF of 95,578,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1473120/1

Therefore the LCM of Fractions 55/95,62/578,864/400 is 1473120

Greatest Common Factor of 95,578,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,578,400 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 95,578,400 . The biggest common factor number is the GCF number.
So the greatest common factor 95,578,400 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 55/95, 62/578, 864/400

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 55/95, 62/578, 864/400?

Answer: LCM of Numerators as per given numbers 55/95, 62/578, 864/400 is

LCM of Numerators i.e. for 55,62,864 is 1473120

GCF of denominators i.e. for 95,578,400 is 1.

Thus, LCM of Fractions is 1473120.Finally, LCM of Fractions for 55/95, 62/578, 864/400 is 1473120.