Least Common Multiple of 14/649, 98/496, 138/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/649, 98/496, 138/385 quickly i.e. 6762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/649, 98/496, 138/385 is 6762.

LCM(14/649, 98/496, 138/385) = 6762

LCM of 14/649, 98/496, 138/385

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 14/649,98/496,138/385

Given numbers are 14/649,98/496,138/385

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 14,98,138

Least Common Multiple of Numerators i.e. LCM of 14,98,138 is 6762.

GCF of Denominators means GCF of 649,496,385 as per the given fractions.

GCF of 649,496,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,98,138

LCM of Fractions 14/649,98/496,138/385 is 6762

2 14, 98, 138
7 7, 49, 69
1, 7, 69

∴ So the LCM of the given numbers is 2 x 7 x 1 x 7 x 69 = 6762

Least Common Multiple of 14,98,138 with GCF Formula

Least Common Multiple of 14,98,138 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 14,98,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,98,138) = 2

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

GCF(14,98,138) x common factors =2 x 14 = 28

LCM(14,98,138) = ( 14 × 98 × 138 ) / 28

LCM(14,98,138) = 189336 / 28

LCM(14,98,138) = 6762


Lets's calculate GCF of 649,496,385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6762/1

Therefore the LCM of Fractions 14/649,98/496,138/385 is 6762

Greatest Common Factor of 649,496,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,496,385 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 649,496,385 . The biggest common factor number is the GCF number.
So the greatest common factor 649,496,385 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 14/649, 98/496, 138/385

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 14/649, 98/496, 138/385?

Answer: LCM of Numerators as per given numbers 14/649, 98/496, 138/385 is

LCM of Numerators i.e. for 14,98,138 is 6762

GCF of denominators i.e. for 649,496,385 is 1.

Thus, LCM of Fractions is 6762.Finally, LCM of Fractions for 14/649, 98/496, 138/385 is 6762.