Least Common Multiple of 142/74, 991/12, 969/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/74, 991/12, 969/404 quickly i.e. 68179809 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/74, 991/12, 969/404 is 68179809.

LCM(142/74, 991/12, 969/404) = 68179809

LCM of 142/74, 991/12, 969/404

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 142/74,991/12,969/404

Given numbers are 142/74,991/12,969/404

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 142,991,969

Least Common Multiple of Numerators i.e. LCM of 142,991,969 is 136359618.

GCF of Denominators means GCF of 74,12,404 as per the given fractions.

GCF of 74,12,404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,991,969

LCM of Fractions 142/74,991/12,969/404 is 68179809

Given numbers has no common factors except 1. So, there LCM is their product i.e 136359618

Least Common Multiple of 142,991,969 with GCF Formula

Least Common Multiple of 142,991,969 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 142,991,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,991,969) = 1

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

GCF(142,991,969) x common factors =1 x 1 = 1

LCM(142,991,969) = ( 142 × 991 × 969 ) / 1

LCM(142,991,969) = 136359618 / 1

LCM(142,991,969) = 136359618


Lets's calculate GCF of 74,12,404

2 74, 12, 404
37, 6, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136359618/2

Therefore the LCM of Fractions 142/74,991/12,969/404 is 68179809

Greatest Common Factor of 74,12,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,12,404 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 74,12,404 . The biggest common factor number is the GCF number.
So the greatest common factor 74,12,404 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 142/74, 991/12, 969/404

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 142/74, 991/12, 969/404?

Answer: LCM of Numerators as per given numbers 142/74, 991/12, 969/404 is

LCM of Numerators i.e. for 142,991,969 is 136359618

GCF of denominators i.e. for 74,12,404 is 2.

Thus, LCM of Fractions is 68179809.Finally, LCM of Fractions for 142/74, 991/12, 969/404 is 68179809.