Least Common Multiple of 46/67, 991/89, 699/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/67, 991/89, 699/905 quickly i.e. 31864614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/67, 991/89, 699/905 is 31864614.

LCM(46/67, 991/89, 699/905) = 31864614

LCM of 46/67, 991/89, 699/905

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 46/67,991/89,699/905

Given numbers are 46/67,991/89,699/905

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 46,991,699

Least Common Multiple of Numerators i.e. LCM of 46,991,699 is 31864614.

GCF of Denominators means GCF of 67,89,905 as per the given fractions.

GCF of 67,89,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,991,699

LCM of Fractions 46/67,991/89,699/905 is 31864614

Given numbers has no common factors except 1. So, there LCM is their product i.e 31864614

Least Common Multiple of 46,991,699 with GCF Formula

Least Common Multiple of 46,991,699 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 46,991,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,991,699) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(46,991,699) x common factors =1 x 1 = 1

LCM(46,991,699) = ( 46 × 991 × 699 ) / 1

LCM(46,991,699) = 31864614 / 1

LCM(46,991,699) = 31864614


Lets's calculate GCF of 67,89,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31864614/1

Therefore the LCM of Fractions 46/67,991/89,699/905 is 31864614

Greatest Common Factor of 67,89,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,89,905 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 67,89,905 . The biggest common factor number is the GCF number.
So the greatest common factor 67,89,905 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 46/67, 991/89, 699/905

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 46/67, 991/89, 699/905?

Answer: LCM of Numerators as per given numbers 46/67, 991/89, 699/905 is

LCM of Numerators i.e. for 46,991,699 is 31864614

GCF of denominators i.e. for 67,89,905 is 1.

Thus, LCM of Fractions is 31864614.Finally, LCM of Fractions for 46/67, 991/89, 699/905 is 31864614.