Least Common Multiple of 56/23, 55/342, 945/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/23, 55/342, 945/200 quickly i.e. 83160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/23, 55/342, 945/200 is 83160.

LCM(56/23, 55/342, 945/200) = 83160

LCM of 56/23, 55/342, 945/200

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 56/23,55/342,945/200

Given numbers are 56/23,55/342,945/200

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 56,55,945

Least Common Multiple of Numerators i.e. LCM of 56,55,945 is 83160.

GCF of Denominators means GCF of 23,342,200 as per the given fractions.

GCF of 23,342,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,55,945

LCM of Fractions 56/23,55/342,945/200 is 83160

5 56, 55, 945
7 56, 11, 189
8, 11, 27

∴ So the LCM of the given numbers is 5 x 7 x 8 x 11 x 27 = 83160

Least Common Multiple of 56,55,945 with GCF Formula

Least Common Multiple of 56,55,945 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 56,55,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,55,945) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(56,55,945) x common factors =1 x 35 = 35

LCM(56,55,945) = ( 56 × 55 × 945 ) / 35

LCM(56,55,945) = 2910600 / 35

LCM(56,55,945) = 83160


Lets's calculate GCF of 23,342,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83160/1

Therefore the LCM of Fractions 56/23,55/342,945/200 is 83160

Greatest Common Factor of 23,342,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,342,200 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

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

Greatest Common Factor

We found the factors 23,342,200 . The biggest common factor number is the GCF number.
So the greatest common factor 23,342,200 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 56/23, 55/342, 945/200

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 56/23, 55/342, 945/200?

Answer: LCM of Numerators as per given numbers 56/23, 55/342, 945/200 is

LCM of Numerators i.e. for 56,55,945 is 83160

GCF of denominators i.e. for 23,342,200 is 1.

Thus, LCM of Fractions is 83160.Finally, LCM of Fractions for 56/23, 55/342, 945/200 is 83160.