Least Common Multiple of 14/468, 63/563, 764/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/468, 63/563, 764/428 quickly i.e. 48132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/468, 63/563, 764/428 is 48132.

LCM(14/468, 63/563, 764/428) = 48132

LCM of 14/468, 63/563, 764/428

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 14/468,63/563,764/428

Given numbers are 14/468,63/563,764/428

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 14,63,764

Least Common Multiple of Numerators i.e. LCM of 14,63,764 is 48132.

GCF of Denominators means GCF of 468,563,428 as per the given fractions.

GCF of 468,563,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,63,764

LCM of Fractions 14/468,63/563,764/428 is 48132

2 14, 63, 764
7 7, 63, 382
1, 9, 382

∴ So the LCM of the given numbers is 2 x 7 x 1 x 9 x 382 = 48132

Least Common Multiple of 14,63,764 with GCF Formula

Least Common Multiple of 14,63,764 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 14,63,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,63,764) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,63,764) x common factors =1 x 14 = 14

LCM(14,63,764) = ( 14 × 63 × 764 ) / 14

LCM(14,63,764) = 673848 / 14

LCM(14,63,764) = 48132


Lets's calculate GCF of 468,563,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48132/1

Therefore the LCM of Fractions 14/468,63/563,764/428 is 48132

Greatest Common Factor of 468,563,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,563,428 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 468,563,428 . The biggest common factor number is the GCF number.
So the greatest common factor 468,563,428 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 14/468, 63/563, 764/428

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 14/468, 63/563, 764/428?

Answer: LCM of Numerators as per given numbers 14/468, 63/563, 764/428 is

LCM of Numerators i.e. for 14,63,764 is 48132

GCF of denominators i.e. for 468,563,428 is 1.

Thus, LCM of Fractions is 48132.Finally, LCM of Fractions for 14/468, 63/563, 764/428 is 48132.