Least Common Multiple of 14/498, 96/798, 624/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/498, 96/798, 624/562 quickly i.e. 4368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/498, 96/798, 624/562 is 4368.

LCM(14/498, 96/798, 624/562) = 4368

LCM of 14/498, 96/798, 624/562

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 14/498,96/798,624/562

Given numbers are 14/498,96/798,624/562

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 14,96,624

Least Common Multiple of Numerators i.e. LCM of 14,96,624 is 8736.

GCF of Denominators means GCF of 498,798,562 as per the given fractions.

GCF of 498,798,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,96,624

LCM of Fractions 14/498,96/798,624/562 is 4368

2 14, 96, 624
2 7, 48, 312
2 7, 24, 156
2 7, 12, 78
3 7, 6, 39
7, 2, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 2 x 13 = 8736

Least Common Multiple of 14,96,624 with GCF Formula

Least Common Multiple of 14,96,624 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 14,96,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,96,624) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(14,96,624) x common factors =2 x 48 = 96

LCM(14,96,624) = ( 14 × 96 × 624 ) / 96

LCM(14,96,624) = 838656 / 96

LCM(14,96,624) = 8736


Lets's calculate GCF of 498,798,562

2 498, 798, 562
249, 399, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8736/2

Therefore the LCM of Fractions 14/498,96/798,624/562 is 4368

Greatest Common Factor of 498,798,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,798,562 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 498,798,562 . The biggest common factor number is the GCF number.
So the greatest common factor 498,798,562 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 14/498, 96/798, 624/562

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 14/498, 96/798, 624/562?

Answer: LCM of Numerators as per given numbers 14/498, 96/798, 624/562 is

LCM of Numerators i.e. for 14,96,624 is 8736

GCF of denominators i.e. for 498,798,562 is 2.

Thus, LCM of Fractions is 4368.Finally, LCM of Fractions for 14/498, 96/798, 624/562 is 4368.