Least Common Multiple of 46/770, 5183/9474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/770, 5183/9474 quickly i.e. 119209 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/770, 5183/9474 is 119209.

LCM(46/770, 5183/9474) = 119209

LCM of 46/770, 5183/9474

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 46/770,5183/9474

Given numbers are 46/770,5183/9474

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 46,5183

Least Common Multiple of Numerators i.e. LCM of 46,5183 is 238418.

GCF of Denominators means GCF of 770,9474 as per the given fractions.

GCF of 770,9474 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,5183

LCM of Fractions 46/770,5183/9474 is 119209

Given numbers has no common factors except 1. So, there LCM is their product i.e 238418

Least Common Multiple of 46,5183 with GCF Formula

Least Common Multiple of 46,5183 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 46,5183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,5183) = 1

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

GCF(46,5183) x common factors =1 x 1 = 1

LCM(46,5183) = ( 46 × 5183 ) / 1

LCM(46,5183) = 238418 / 1

LCM(46,5183) = 238418


Lets's calculate GCF of 770,9474

2 770, 9474
385, 4737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238418/2

Therefore the LCM of Fractions 46/770,5183/9474 is 119209

Greatest Common Factor of 770,9474 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,9474 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1,2,3,6,1579,3158,4737,9474

Greatest Common Factor

We found the factors 770,9474 . The biggest common factor number is the GCF number.
So the greatest common factor 770,9474 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/770, 5183/9474

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 46/770, 5183/9474?

Answer: LCM of Numerators as per given numbers 46/770, 5183/9474 is

LCM of Numerators i.e. for 46,5183 is 238418

GCF of denominators i.e. for 770,9474 is 2.

Thus, LCM of Fractions is 119209.Finally, LCM of Fractions for 46/770, 5183/9474 is 119209.