Least Common Multiple of 1/441, 49/914, 21/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/441, 49/914, 21/426 quickly i.e. 147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/441, 49/914, 21/426 is 147.

LCM(1/441, 49/914, 21/426) = 147

LCM of 1/441, 49/914, 21/426

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 1/441,49/914,21/426

Given numbers are 1/441,49/914,21/426

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 1,49,21

Least Common Multiple of Numerators i.e. LCM of 1,49,21 is 147.

GCF of Denominators means GCF of 441,914,426 as per the given fractions.

GCF of 441,914,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,49,21

LCM of Fractions 1/441,49/914,21/426 is 147

7 1, 49, 21
1, 7, 3

∴ So the LCM of the given numbers is 7 x 1 x 7 x 3 = 147

Least Common Multiple of 1,49,21 with GCF Formula

Least Common Multiple of 1,49,21 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 1,49,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,49,21) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(1,49,21) x common factors =1 x 7 = 7

LCM(1,49,21) = ( 1 × 49 × 21 ) / 7

LCM(1,49,21) = 1029 / 7

LCM(1,49,21) = 147


Lets's calculate GCF of 441,914,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147/1

Therefore the LCM of Fractions 1/441,49/914,21/426 is 147

Greatest Common Factor of 441,914,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,914,426 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 441,914,426 . The biggest common factor number is the GCF number.
So the greatest common factor 441,914,426 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 1/441, 49/914, 21/426

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 1/441, 49/914, 21/426?

Answer: LCM of Numerators as per given numbers 1/441, 49/914, 21/426 is

LCM of Numerators i.e. for 1,49,21 is 147

GCF of denominators i.e. for 441,914,426 is 1.

Thus, LCM of Fractions is 147.Finally, LCM of Fractions for 1/441, 49/914, 21/426 is 147.