Least Common Multiple of 542/692, 6369/6777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 542/692, 6369/6777 quickly i.e. 3451998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/692, 6369/6777 is 3451998.

LCM(542/692, 6369/6777) = 3451998

LCM of 542/692, 6369/6777

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 542/692,6369/6777

Given numbers are 542/692,6369/6777

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 542,6369

Least Common Multiple of Numerators i.e. LCM of 542,6369 is 3451998.

GCF of Denominators means GCF of 692,6777 as per the given fractions.

GCF of 692,6777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,6369

LCM of Fractions 542/692,6369/6777 is 3451998

Given numbers has no common factors except 1. So, there LCM is their product i.e 3451998

Least Common Multiple of 542,6369 with GCF Formula

Least Common Multiple of 542,6369 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 542,6369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,6369) = 1

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

GCF(542,6369) x common factors =1 x 1 = 1

LCM(542,6369) = ( 542 × 6369 ) / 1

LCM(542,6369) = 3451998 / 1

LCM(542,6369) = 3451998


Lets's calculate GCF of 692,6777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3451998/1

Therefore the LCM of Fractions 542/692,6369/6777 is 3451998

Greatest Common Factor of 692,6777 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,6777 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 6777

List of positive integer factors of 6777 that divides 6777 without a remainder.

1,3,9,27,251,753,2259,6777

Greatest Common Factor

We found the factors 692,6777 . The biggest common factor number is the GCF number.
So the greatest common factor 692,6777 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 542/692, 6369/6777

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 542/692, 6369/6777?

Answer: LCM of Numerators as per given numbers 542/692, 6369/6777 is

LCM of Numerators i.e. for 542,6369 is 3451998

GCF of denominators i.e. for 692,6777 is 1.

Thus, LCM of Fractions is 3451998.Finally, LCM of Fractions for 542/692, 6369/6777 is 3451998.