Least Common Multiple of 99/77, 55/59, 19/31, 14/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/77, 55/59, 19/31, 14/625 quickly i.e. 131670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/77, 55/59, 19/31, 14/625 is 131670.

LCM(99/77, 55/59, 19/31, 14/625) = 131670

LCM of 99/77, 55/59, 19/31, 14/625

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 99/77,55/59,19/31,14/625

Given numbers are 99/77,55/59,19/31,14/625

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 99,55,19,14

Least Common Multiple of Numerators i.e. LCM of 99,55,19,14 is 131670.

GCF of Denominators means GCF of 77,59,31,625 as per the given fractions.

GCF of 77,59,31,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,55,19,14

LCM of Fractions 99/77,55/59,19/31,14/625 is 131670

11 99, 55, 19, 14
9, 5, 19, 14

∴ So the LCM of the given numbers is 11 x 9 x 5 x 19 x 14 = 131670

Least Common Multiple of 99,55,19,14 with GCF Formula

Least Common Multiple of 99,55,19,14 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 99,55,19,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,55,19,14) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(99,55,19,14) x common factors =1 x 11 = 11

LCM(99,55,19,14) = ( 99 × 55 × 19 × 14 ) / 11

LCM(99,55,19,14) = 1448370 / 11

LCM(99,55,19,14) = 131670


Lets's calculate GCF of 77,59,31,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131670/1

Therefore the LCM of Fractions 99/77,55/59,19/31,14/625 is 131670

Greatest Common Factor of 77,59,31,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,59,31,625 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 77,59,31,625 . The biggest common factor number is the GCF number.
So the greatest common factor 77,59,31,625 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 99/77, 55/59, 19/31, 14/625

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 99/77, 55/59, 19/31, 14/625?

Answer: LCM of Numerators as per given numbers 99/77, 55/59, 19/31, 14/625 is

LCM of Numerators i.e. for 99,55,19,14 is 131670

GCF of denominators i.e. for 77,59,31,625 is 1.

Thus, LCM of Fractions is 131670.Finally, LCM of Fractions for 99/77, 55/59, 19/31, 14/625 is 131670.