Least Common Multiple of 14/662, 30/753, 504/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/662, 30/753, 504/916 quickly i.e. 2520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/662, 30/753, 504/916 is 2520.

LCM(14/662, 30/753, 504/916) = 2520

LCM of 14/662, 30/753, 504/916

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 14/662,30/753,504/916

Given numbers are 14/662,30/753,504/916

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 14,30,504

Least Common Multiple of Numerators i.e. LCM of 14,30,504 is 2520.

GCF of Denominators means GCF of 662,753,916 as per the given fractions.

GCF of 662,753,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,30,504

LCM of Fractions 14/662,30/753,504/916 is 2520

2 14, 30, 504
3 7, 15, 252
7 7, 5, 84
1, 5, 12

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 5 x 12 = 2520

Least Common Multiple of 14,30,504 with GCF Formula

Least Common Multiple of 14,30,504 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 14,30,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,30,504) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(14,30,504) x common factors =2 x 42 = 84

LCM(14,30,504) = ( 14 × 30 × 504 ) / 84

LCM(14,30,504) = 211680 / 84

LCM(14,30,504) = 2520


Lets's calculate GCF of 662,753,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2520/1

Therefore the LCM of Fractions 14/662,30/753,504/916 is 2520

Greatest Common Factor of 662,753,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,753,916 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 662,753,916 . The biggest common factor number is the GCF number.
So the greatest common factor 662,753,916 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 14/662, 30/753, 504/916

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 14/662, 30/753, 504/916?

Answer: LCM of Numerators as per given numbers 14/662, 30/753, 504/916 is

LCM of Numerators i.e. for 14,30,504 is 2520

GCF of denominators i.e. for 662,753,916 is 1.

Thus, LCM of Fractions is 2520.Finally, LCM of Fractions for 14/662, 30/753, 504/916 is 2520.