Least Common Multiple of 21/44, 692/28, 925/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/44, 692/28, 925/162 quickly i.e. 6721050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/44, 692/28, 925/162 is 6721050.

LCM(21/44, 692/28, 925/162) = 6721050

LCM of 21/44, 692/28, 925/162

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 21/44,692/28,925/162

Given numbers are 21/44,692/28,925/162

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 21,692,925

Least Common Multiple of Numerators i.e. LCM of 21,692,925 is 13442100.

GCF of Denominators means GCF of 44,28,162 as per the given fractions.

GCF of 44,28,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,692,925

LCM of Fractions 21/44,692/28,925/162 is 6721050

Given numbers has no common factors except 1. So, there LCM is their product i.e 13442100

Least Common Multiple of 21,692,925 with GCF Formula

Least Common Multiple of 21,692,925 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 21,692,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,692,925) = 1

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

GCF(21,692,925) x common factors =1 x 1 = 1

LCM(21,692,925) = ( 21 × 692 × 925 ) / 1

LCM(21,692,925) = 13442100 / 1

LCM(21,692,925) = 13442100


Lets's calculate GCF of 44,28,162

2 44, 28, 162
22, 14, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13442100/2

Therefore the LCM of Fractions 21/44,692/28,925/162 is 6721050

Greatest Common Factor of 44,28,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,28,162 By Matching Biggest Common Factor Method

Factors of 44

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

1,2,4,11,22,44

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 44,28,162 . The biggest common factor number is the GCF number.
So the greatest common factor 44,28,162 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 21/44, 692/28, 925/162

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 21/44, 692/28, 925/162?

Answer: LCM of Numerators as per given numbers 21/44, 692/28, 925/162 is

LCM of Numerators i.e. for 21,692,925 is 13442100

GCF of denominators i.e. for 44,28,162 is 2.

Thus, LCM of Fractions is 6721050.Finally, LCM of Fractions for 21/44, 692/28, 925/162 is 6721050.