Least Common Multiple of 136/769, 434/498, 474/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 136/769, 434/498, 474/989 quickly i.e. 6994344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/769, 434/498, 474/989 is 6994344.

LCM(136/769, 434/498, 474/989) = 6994344

LCM of 136/769, 434/498, 474/989

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 136/769,434/498,474/989

Given numbers are 136/769,434/498,474/989

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 136,434,474

Least Common Multiple of Numerators i.e. LCM of 136,434,474 is 6994344.

GCF of Denominators means GCF of 769,498,989 as per the given fractions.

GCF of 769,498,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,434,474

LCM of Fractions 136/769,434/498,474/989 is 6994344

2 136, 434, 474
68, 217, 237

∴ So the LCM of the given numbers is 2 x 68 x 217 x 237 = 6994344

Least Common Multiple of 136,434,474 with GCF Formula

Least Common Multiple of 136,434,474 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 136,434,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,434,474) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(136,434,474) x common factors =2 x 2 = 4

LCM(136,434,474) = ( 136 × 434 × 474 ) / 4

LCM(136,434,474) = 27977376 / 4

LCM(136,434,474) = 6994344


Lets's calculate GCF of 769,498,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6994344/1

Therefore the LCM of Fractions 136/769,434/498,474/989 is 6994344

Greatest Common Factor of 769,498,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,498,989 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

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 769,498,989 . The biggest common factor number is the GCF number.
So the greatest common factor 769,498,989 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 136/769, 434/498, 474/989

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 136/769, 434/498, 474/989?

Answer: LCM of Numerators as per given numbers 136/769, 434/498, 474/989 is

LCM of Numerators i.e. for 136,434,474 is 6994344

GCF of denominators i.e. for 769,498,989 is 1.

Thus, LCM of Fractions is 6994344.Finally, LCM of Fractions for 136/769, 434/498, 474/989 is 6994344.