Least Common Multiple of 19/91, 761/31, 988/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/91, 761/31, 988/989 quickly i.e. 751868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/91, 761/31, 988/989 is 751868.

LCM(19/91, 761/31, 988/989) = 751868

LCM of 19/91, 761/31, 988/989

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 19/91,761/31,988/989

Given numbers are 19/91,761/31,988/989

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 19,761,988

Least Common Multiple of Numerators i.e. LCM of 19,761,988 is 751868.

GCF of Denominators means GCF of 91,31,989 as per the given fractions.

GCF of 91,31,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,761,988

LCM of Fractions 19/91,761/31,988/989 is 751868

19 19, 761, 988
1, 761, 52

∴ So the LCM of the given numbers is 19 x 1 x 761 x 52 = 751868

Least Common Multiple of 19,761,988 with GCF Formula

Least Common Multiple of 19,761,988 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 19,761,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,761,988) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(19,761,988) x common factors =1 x 19 = 19

LCM(19,761,988) = ( 19 × 761 × 988 ) / 19

LCM(19,761,988) = 14285492 / 19

LCM(19,761,988) = 751868


Lets's calculate GCF of 91,31,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 751868/1

Therefore the LCM of Fractions 19/91,761/31,988/989 is 751868

Greatest Common Factor of 91,31,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,31,989 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 31

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

1,31

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 91,31,989 . The biggest common factor number is the GCF number.
So the greatest common factor 91,31,989 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 19/91, 761/31, 988/989

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 19/91, 761/31, 988/989?

Answer: LCM of Numerators as per given numbers 19/91, 761/31, 988/989 is

LCM of Numerators i.e. for 19,761,988 is 751868

GCF of denominators i.e. for 91,31,989 is 1.

Thus, LCM of Fractions is 751868.Finally, LCM of Fractions for 19/91, 761/31, 988/989 is 751868.