Least Common Multiple of 23/92, 45/50, 60/44, 30/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/92, 45/50, 60/44, 30/602 quickly i.e. 2070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/92, 45/50, 60/44, 30/602 is 2070.

LCM(23/92, 45/50, 60/44, 30/602) = 2070

LCM of 23/92, 45/50, 60/44, 30/602

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 23/92,45/50,60/44,30/602

Given numbers are 23/92,45/50,60/44,30/602

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 23,45,60,30

Least Common Multiple of Numerators i.e. LCM of 23,45,60,30 is 4140.

GCF of Denominators means GCF of 92,50,44,602 as per the given fractions.

GCF of 92,50,44,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,45,60,30

LCM of Fractions 23/92,45/50,60/44,30/602 is 2070

2 23, 45, 60, 30
3 23, 45, 30, 15
5 23, 5, 10, 15
23, 1, 2, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 1 x 2 x 3 = 4140

Least Common Multiple of 23,45,60,30 with GCF Formula

Least Common Multiple of 23,45,60,30 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 23,45,60,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,45,60,30) = 1

common factors(in case of two or more numbers have common factors) = 450

GCF(23,45,60,30) x common factors =1 x 450 = 450

LCM(23,45,60,30) = ( 23 × 45 × 60 × 30 ) / 450

LCM(23,45,60,30) = 1863000 / 450

LCM(23,45,60,30) = 4140


Lets's calculate GCF of 92,50,44,602

2 92, 50, 44, 602
46, 25, 22, 301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4140/2

Therefore the LCM of Fractions 23/92,45/50,60/44,30/602 is 2070

Greatest Common Factor of 92,50,44,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,50,44,602 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 92,50,44,602 . The biggest common factor number is the GCF number.
So the greatest common factor 92,50,44,602 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 23/92, 45/50, 60/44, 30/602

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 23/92, 45/50, 60/44, 30/602?

Answer: LCM of Numerators as per given numbers 23/92, 45/50, 60/44, 30/602 is

LCM of Numerators i.e. for 23,45,60,30 is 4140

GCF of denominators i.e. for 92,50,44,602 is 2.

Thus, LCM of Fractions is 2070.Finally, LCM of Fractions for 23/92, 45/50, 60/44, 30/602 is 2070.