Least Common Multiple of 4162/302, 3610/6708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4162/302, 3610/6708 quickly i.e. 3756205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4162/302, 3610/6708 is 3756205.

LCM(4162/302, 3610/6708) = 3756205

LCM of 4162/302, 3610/6708

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 4162/302,3610/6708

Given numbers are 4162/302,3610/6708

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 4162,3610

Least Common Multiple of Numerators i.e. LCM of 4162,3610 is 7512410.

GCF of Denominators means GCF of 302,6708 as per the given fractions.

GCF of 302,6708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4162,3610

LCM of Fractions 4162/302,3610/6708 is 3756205

2 4162, 3610
2081, 1805

∴ So the LCM of the given numbers is 2 x 2081 x 1805 = 7512410

Least Common Multiple of 4162,3610 with GCF Formula

Least Common Multiple of 4162,3610 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 4162,3610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4162,3610) = 2

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

GCF(4162,3610) x common factors =2 x 1 = 2

LCM(4162,3610) = ( 4162 × 3610 ) / 2

LCM(4162,3610) = 15024820 / 2

LCM(4162,3610) = 7512410


Lets's calculate GCF of 302,6708

2 302, 6708
151, 3354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7512410/2

Therefore the LCM of Fractions 4162/302,3610/6708 is 3756205

Greatest Common Factor of 302,6708 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,6708 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 6708

List of positive integer factors of 6708 that divides 6708 without a remainder.

1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708

Greatest Common Factor

We found the factors 302,6708 . The biggest common factor number is the GCF number.
So the greatest common factor 302,6708 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4162/302, 3610/6708

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 4162/302, 3610/6708?

Answer: LCM of Numerators as per given numbers 4162/302, 3610/6708 is

LCM of Numerators i.e. for 4162,3610 is 7512410

GCF of denominators i.e. for 302,6708 is 2.

Thus, LCM of Fractions is 3756205.Finally, LCM of Fractions for 4162/302, 3610/6708 is 3756205.