Least Common Multiple of 55/450, 68/760, 884/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/450, 68/760, 884/176 quickly i.e. 24310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/450, 68/760, 884/176 is 24310.

LCM(55/450, 68/760, 884/176) = 24310

LCM of 55/450, 68/760, 884/176

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 55/450,68/760,884/176

Given numbers are 55/450,68/760,884/176

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 55,68,884

Least Common Multiple of Numerators i.e. LCM of 55,68,884 is 48620.

GCF of Denominators means GCF of 450,760,176 as per the given fractions.

GCF of 450,760,176 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,68,884

LCM of Fractions 55/450,68/760,884/176 is 24310

2 55, 68, 884
2 55, 34, 442
17 55, 17, 221
55, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 17 x 55 x 1 x 13 = 48620

Least Common Multiple of 55,68,884 with GCF Formula

Least Common Multiple of 55,68,884 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 55,68,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,68,884) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(55,68,884) x common factors =1 x 68 = 68

LCM(55,68,884) = ( 55 × 68 × 884 ) / 68

LCM(55,68,884) = 3306160 / 68

LCM(55,68,884) = 48620


Lets's calculate GCF of 450,760,176

2 450, 760, 176
225, 380, 88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48620/2

Therefore the LCM of Fractions 55/450,68/760,884/176 is 24310

Greatest Common Factor of 450,760,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,760,176 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 450,760,176 . The biggest common factor number is the GCF number.
So the greatest common factor 450,760,176 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 55/450, 68/760, 884/176

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 55/450, 68/760, 884/176?

Answer: LCM of Numerators as per given numbers 55/450, 68/760, 884/176 is

LCM of Numerators i.e. for 55,68,884 is 48620

GCF of denominators i.e. for 450,760,176 is 2.

Thus, LCM of Fractions is 24310.Finally, LCM of Fractions for 55/450, 68/760, 884/176 is 24310.