Least Common Multiple of 746/99, 709/19, 267/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 746/99, 709/19, 267/479 quickly i.e. 141220038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/99, 709/19, 267/479 is 141220038.

LCM(746/99, 709/19, 267/479) = 141220038

LCM of 746/99, 709/19, 267/479

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 746/99,709/19,267/479

Given numbers are 746/99,709/19,267/479

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 746,709,267

Least Common Multiple of Numerators i.e. LCM of 746,709,267 is 141220038.

GCF of Denominators means GCF of 99,19,479 as per the given fractions.

GCF of 99,19,479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,709,267

LCM of Fractions 746/99,709/19,267/479 is 141220038

Given numbers has no common factors except 1. So, there LCM is their product i.e 141220038

Least Common Multiple of 746,709,267 with GCF Formula

Least Common Multiple of 746,709,267 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 746,709,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,709,267) = 1

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

GCF(746,709,267) x common factors =1 x 1 = 1

LCM(746,709,267) = ( 746 × 709 × 267 ) / 1

LCM(746,709,267) = 141220038 / 1

LCM(746,709,267) = 141220038


Lets's calculate GCF of 99,19,479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141220038/1

Therefore the LCM of Fractions 746/99,709/19,267/479 is 141220038

Greatest Common Factor of 99,19,479 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,19,479 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Greatest Common Factor

We found the factors 99,19,479 . The biggest common factor number is the GCF number.
So the greatest common factor 99,19,479 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 746/99, 709/19, 267/479

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 746/99, 709/19, 267/479?

Answer: LCM of Numerators as per given numbers 746/99, 709/19, 267/479 is

LCM of Numerators i.e. for 746,709,267 is 141220038

GCF of denominators i.e. for 99,19,479 is 1.

Thus, LCM of Fractions is 141220038.Finally, LCM of Fractions for 746/99, 709/19, 267/479 is 141220038.