Least Common Multiple of 1047/696, 3137/6618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1047/696, 3137/6618 quickly i.e. 3284439/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1047/696, 3137/6618 is 3284439/6.

LCM(1047/696, 3137/6618) = 3284439/6

LCM of 1047/696, 3137/6618

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 1047/696,3137/6618

Given numbers are 1047/696,3137/6618

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 1047,3137

Least Common Multiple of Numerators i.e. LCM of 1047,3137 is 3284439.

GCF of Denominators means GCF of 696,6618 as per the given fractions.

GCF of 696,6618 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1047,3137

LCM of Fractions 1047/696,3137/6618 is 3284439/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 3284439

Least Common Multiple of 1047,3137 with GCF Formula

Least Common Multiple of 1047,3137 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 1047,3137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1047,3137) = 1

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

GCF(1047,3137) x common factors =1 x 1 = 1

LCM(1047,3137) = ( 1047 × 3137 ) / 1

LCM(1047,3137) = 3284439 / 1

LCM(1047,3137) = 3284439


Lets's calculate GCF of 696,6618

2 696, 6618
3 348, 3309
116, 1103

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3284439/6

Therefore the LCM of Fractions 1047/696,3137/6618 is 3284439/6

Greatest Common Factor of 696,6618 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,6618 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 6618

List of positive integer factors of 6618 that divides 6618 without a remainder.

1,2,3,6,1103,2206,3309,6618

Greatest Common Factor

We found the factors 696,6618 . The biggest common factor number is the GCF number.
So the greatest common factor 696,6618 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1047/696, 3137/6618

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 1047/696, 3137/6618?

Answer: LCM of Numerators as per given numbers 1047/696, 3137/6618 is

LCM of Numerators i.e. for 1047,3137 is 3284439

GCF of denominators i.e. for 696,6618 is 6.

Thus, LCM of Fractions is 3284439/6.Finally, LCM of Fractions for 1047/696, 3137/6618 is 3284439/6.