Least Common Multiple of 6228/68, 5437/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6228/68, 5437/988 quickly i.e. 8465409 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6228/68, 5437/988 is 8465409.

LCM(6228/68, 5437/988) = 8465409

LCM of 6228/68, 5437/988

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 6228/68,5437/988

Given numbers are 6228/68,5437/988

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 6228,5437

Least Common Multiple of Numerators i.e. LCM of 6228,5437 is 33861636.

GCF of Denominators means GCF of 68,988 as per the given fractions.

GCF of 68,988 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6228,5437

LCM of Fractions 6228/68,5437/988 is 8465409

Given numbers has no common factors except 1. So, there LCM is their product i.e 33861636

Least Common Multiple of 6228,5437 with GCF Formula

Least Common Multiple of 6228,5437 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 6228,5437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6228,5437) = 1

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

GCF(6228,5437) x common factors =1 x 1 = 1

LCM(6228,5437) = ( 6228 × 5437 ) / 1

LCM(6228,5437) = 33861636 / 1

LCM(6228,5437) = 33861636


Lets's calculate GCF of 68,988

2 68, 988
2 34, 494
17, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33861636/4

Therefore the LCM of Fractions 6228/68,5437/988 is 8465409

Greatest Common Factor of 68,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,988 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 68,988 . The biggest common factor number is the GCF number.
So the greatest common factor 68,988 is 4.


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Frequently Asked Questions on Fractional LCM of 6228/68, 5437/988

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 6228/68, 5437/988?

Answer: LCM of Numerators as per given numbers 6228/68, 5437/988 is

LCM of Numerators i.e. for 6228,5437 is 33861636

GCF of denominators i.e. for 68,988 is 4.

Thus, LCM of Fractions is 8465409.Finally, LCM of Fractions for 6228/68, 5437/988 is 8465409.