Least Common Multiple of 7670/558, 4696/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7670/558, 4696/836 quickly i.e. 9004580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7670/558, 4696/836 is 9004580.

LCM(7670/558, 4696/836) = 9004580

LCM of 7670/558, 4696/836

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 7670/558,4696/836

Given numbers are 7670/558,4696/836

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 7670,4696

Least Common Multiple of Numerators i.e. LCM of 7670,4696 is 18009160.

GCF of Denominators means GCF of 558,836 as per the given fractions.

GCF of 558,836 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7670,4696

LCM of Fractions 7670/558,4696/836 is 9004580

2 7670, 4696
3835, 2348

∴ So the LCM of the given numbers is 2 x 3835 x 2348 = 18009160

Least Common Multiple of 7670,4696 with GCF Formula

Least Common Multiple of 7670,4696 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 7670,4696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7670,4696) = 2

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

GCF(7670,4696) x common factors =2 x 1 = 2

LCM(7670,4696) = ( 7670 × 4696 ) / 2

LCM(7670,4696) = 36018320 / 2

LCM(7670,4696) = 18009160


Lets's calculate GCF of 558,836

2 558, 836
279, 418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18009160/2

Therefore the LCM of Fractions 7670/558,4696/836 is 9004580

Greatest Common Factor of 558,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,836 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 558,836 . The biggest common factor number is the GCF number.
So the greatest common factor 558,836 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7670/558, 4696/836

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 7670/558, 4696/836?

Answer: LCM of Numerators as per given numbers 7670/558, 4696/836 is

LCM of Numerators i.e. for 7670,4696 is 18009160

GCF of denominators i.e. for 558,836 is 2.

Thus, LCM of Fractions is 9004580.Finally, LCM of Fractions for 7670/558, 4696/836 is 9004580.