Least Common Multiple of 55/942, 217/400, 683/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/942, 217/400, 683/128 quickly i.e. 8151605/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/942, 217/400, 683/128 is 8151605/2.

LCM(55/942, 217/400, 683/128) = 8151605/2

LCM of 55/942, 217/400, 683/128

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 55/942,217/400,683/128

Given numbers are 55/942,217/400,683/128

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 55,217,683

Least Common Multiple of Numerators i.e. LCM of 55,217,683 is 8151605.

GCF of Denominators means GCF of 942,400,128 as per the given fractions.

GCF of 942,400,128 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,217,683

LCM of Fractions 55/942,217/400,683/128 is 8151605/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 8151605

Least Common Multiple of 55,217,683 with GCF Formula

Least Common Multiple of 55,217,683 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 55,217,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,217,683) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(55,217,683) x common factors =1 x 1 = 1

LCM(55,217,683) = ( 55 × 217 × 683 ) / 1

LCM(55,217,683) = 8151605 / 1

LCM(55,217,683) = 8151605


Lets's calculate GCF of 942,400,128

2 942, 400, 128
471, 200, 64

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8151605/2

Therefore the LCM of Fractions 55/942,217/400,683/128 is 8151605/2

Greatest Common Factor of 942,400,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,400,128 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

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

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 942,400,128 . The biggest common factor number is the GCF number.
So the greatest common factor 942,400,128 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 55/942, 217/400, 683/128

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 55/942, 217/400, 683/128?

Answer: LCM of Numerators as per given numbers 55/942, 217/400, 683/128 is

LCM of Numerators i.e. for 55,217,683 is 8151605

GCF of denominators i.e. for 942,400,128 is 2.

Thus, LCM of Fractions is 8151605/2.Finally, LCM of Fractions for 55/942, 217/400, 683/128 is 8151605/2.