Least Common Multiple of 984/69, 4136/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 984/69, 4136/674 quickly i.e. 508728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/69, 4136/674 is 508728.

LCM(984/69, 4136/674) = 508728

LCM of 984/69, 4136/674

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 984/69,4136/674

Given numbers are 984/69,4136/674

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 984,4136

Least Common Multiple of Numerators i.e. LCM of 984,4136 is 508728.

GCF of Denominators means GCF of 69,674 as per the given fractions.

GCF of 69,674 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,4136

LCM of Fractions 984/69,4136/674 is 508728

2 984, 4136
2 492, 2068
2 246, 1034
123, 517

∴ So the LCM of the given numbers is 2 x 2 x 2 x 123 x 517 = 508728

Least Common Multiple of 984,4136 with GCF Formula

Least Common Multiple of 984,4136 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 984,4136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,4136) = 8

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

GCF(984,4136) x common factors =8 x 1 = 8

LCM(984,4136) = ( 984 × 4136 ) / 8

LCM(984,4136) = 4069824 / 8

LCM(984,4136) = 508728


Lets's calculate GCF of 69,674

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 508728/1

Therefore the LCM of Fractions 984/69,4136/674 is 508728

Greatest Common Factor of 69,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,674 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 69,674 . The biggest common factor number is the GCF number.
So the greatest common factor 69,674 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 984/69, 4136/674

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 984/69, 4136/674?

Answer: LCM of Numerators as per given numbers 984/69, 4136/674 is

LCM of Numerators i.e. for 984,4136 is 508728

GCF of denominators i.e. for 69,674 is 1.

Thus, LCM of Fractions is 508728.Finally, LCM of Fractions for 984/69, 4136/674 is 508728.