Least Common Multiple of 683/148, 8802/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 683/148, 8802/472 quickly i.e. 6011766/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/148, 8802/472 is 6011766/4.

LCM(683/148, 8802/472) = 6011766/4

LCM of 683/148, 8802/472

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 683/148,8802/472

Given numbers are 683/148,8802/472

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 683,8802

Least Common Multiple of Numerators i.e. LCM of 683,8802 is 6011766.

GCF of Denominators means GCF of 148,472 as per the given fractions.

GCF of 148,472 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,8802

LCM of Fractions 683/148,8802/472 is 6011766/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 6011766

Least Common Multiple of 683,8802 with GCF Formula

Least Common Multiple of 683,8802 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 683,8802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,8802) = 1

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

GCF(683,8802) x common factors =1 x 1 = 1

LCM(683,8802) = ( 683 × 8802 ) / 1

LCM(683,8802) = 6011766 / 1

LCM(683,8802) = 6011766


Lets's calculate GCF of 148,472

2 148, 472
2 74, 236
37, 118

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6011766/4

Therefore the LCM of Fractions 683/148,8802/472 is 6011766/4

Greatest Common Factor of 148,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,472 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 148,472 . The biggest common factor number is the GCF number.
So the greatest common factor 148,472 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 683/148, 8802/472

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 683/148, 8802/472?

Answer: LCM of Numerators as per given numbers 683/148, 8802/472 is

LCM of Numerators i.e. for 683,8802 is 6011766

GCF of denominators i.e. for 148,472 is 4.

Thus, LCM of Fractions is 6011766/4.Finally, LCM of Fractions for 683/148, 8802/472 is 6011766/4.