Least Common Multiple of 22/46, 60/74, 25/64, 30/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/46, 60/74, 25/64, 30/16 quickly i.e. 1650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/46, 60/74, 25/64, 30/16 is 1650.

LCM(22/46, 60/74, 25/64, 30/16) = 1650

LCM of 22/46, 60/74, 25/64, 30/16

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 22/46,60/74,25/64,30/16

Given numbers are 22/46,60/74,25/64,30/16

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 22,60,25,30

Least Common Multiple of Numerators i.e. LCM of 22,60,25,30 is 3300.

GCF of Denominators means GCF of 46,74,64,16 as per the given fractions.

GCF of 46,74,64,16 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,60,25,30

LCM of Fractions 22/46,60/74,25/64,30/16 is 1650

2 22, 60, 25, 30
3 11, 30, 25, 15
5 11, 10, 25, 5
11, 2, 1, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 2 x 1 x 5 = 3300

Least Common Multiple of 22,60,25,30 with GCF Formula

Least Common Multiple of 22,60,25,30 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 22,60,25,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,60,25,30) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(22,60,25,30) x common factors =1 x 300 = 300

LCM(22,60,25,30) = ( 22 × 60 × 25 × 30 ) / 300

LCM(22,60,25,30) = 990000 / 300

LCM(22,60,25,30) = 3300


Lets's calculate GCF of 46,74,64,16

2 46, 74, 64, 16
23, 37, 32, 8

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3300/2

Therefore the LCM of Fractions 22/46,60/74,25/64,30/16 is 1650

Greatest Common Factor of 46,74,64,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,74,64,16 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

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

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 46,74,64,16 . The biggest common factor number is the GCF number.
So the greatest common factor 46,74,64,16 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 22/46, 60/74, 25/64, 30/16

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 22/46, 60/74, 25/64, 30/16?

Answer: LCM of Numerators as per given numbers 22/46, 60/74, 25/64, 30/16 is

LCM of Numerators i.e. for 22,60,25,30 is 3300

GCF of denominators i.e. for 46,74,64,16 is 2.

Thus, LCM of Fractions is 1650.Finally, LCM of Fractions for 22/46, 60/74, 25/64, 30/16 is 1650.