Least Common Multiple of 21/28, 46/64, 62/67, 45/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/28, 46/64, 62/67, 45/971 quickly i.e. 449190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/28, 46/64, 62/67, 45/971 is 449190.

LCM(21/28, 46/64, 62/67, 45/971) = 449190

LCM of 21/28, 46/64, 62/67, 45/971

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 21/28,46/64,62/67,45/971

Given numbers are 21/28,46/64,62/67,45/971

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 21,46,62,45

Least Common Multiple of Numerators i.e. LCM of 21,46,62,45 is 449190.

GCF of Denominators means GCF of 28,64,67,971 as per the given fractions.

GCF of 28,64,67,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,46,62,45

LCM of Fractions 21/28,46/64,62/67,45/971 is 449190

2 21, 46, 62, 45
3 21, 23, 31, 45
7, 23, 31, 15

∴ So the LCM of the given numbers is 2 x 3 x 7 x 23 x 31 x 15 = 449190

Least Common Multiple of 21,46,62,45 with GCF Formula

Least Common Multiple of 21,46,62,45 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 21,46,62,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,46,62,45) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(21,46,62,45) x common factors =1 x 6 = 6

LCM(21,46,62,45) = ( 21 × 46 × 62 × 45 ) / 6

LCM(21,46,62,45) = 2695140 / 6

LCM(21,46,62,45) = 449190


Lets's calculate GCF of 28,64,67,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449190/1

Therefore the LCM of Fractions 21/28,46/64,62/67,45/971 is 449190

Greatest Common Factor of 28,64,67,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,64,67,971 By Matching Biggest Common Factor Method

Factors of 28

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

1,2,4,7,14,28

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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 28,64,67,971 . The biggest common factor number is the GCF number.
So the greatest common factor 28,64,67,971 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 21/28, 46/64, 62/67, 45/971

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 21/28, 46/64, 62/67, 45/971?

Answer: LCM of Numerators as per given numbers 21/28, 46/64, 62/67, 45/971 is

LCM of Numerators i.e. for 21,46,62,45 is 449190

GCF of denominators i.e. for 28,64,67,971 is 1.

Thus, LCM of Fractions is 449190.Finally, LCM of Fractions for 21/28, 46/64, 62/67, 45/971 is 449190.