Least Common Multiple of 466/262, 4539/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 466/262, 4539/692 quickly i.e. 1057587 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/262, 4539/692 is 1057587.

LCM(466/262, 4539/692) = 1057587

LCM of 466/262, 4539/692

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 466/262,4539/692

Given numbers are 466/262,4539/692

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 466,4539

Least Common Multiple of Numerators i.e. LCM of 466,4539 is 2115174.

GCF of Denominators means GCF of 262,692 as per the given fractions.

GCF of 262,692 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,4539

LCM of Fractions 466/262,4539/692 is 1057587

Given numbers has no common factors except 1. So, there LCM is their product i.e 2115174

Least Common Multiple of 466,4539 with GCF Formula

Least Common Multiple of 466,4539 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 466,4539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,4539) = 1

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

GCF(466,4539) x common factors =1 x 1 = 1

LCM(466,4539) = ( 466 × 4539 ) / 1

LCM(466,4539) = 2115174 / 1

LCM(466,4539) = 2115174


Lets's calculate GCF of 262,692

2 262, 692
131, 346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2115174/2

Therefore the LCM of Fractions 466/262,4539/692 is 1057587

Greatest Common Factor of 262,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,692 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 692

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

1,2,4,173,346,692

Greatest Common Factor

We found the factors 262,692 . The biggest common factor number is the GCF number.
So the greatest common factor 262,692 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 466/262, 4539/692

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 466/262, 4539/692?

Answer: LCM of Numerators as per given numbers 466/262, 4539/692 is

LCM of Numerators i.e. for 466,4539 is 2115174

GCF of denominators i.e. for 262,692 is 2.

Thus, LCM of Fractions is 1057587.Finally, LCM of Fractions for 466/262, 4539/692 is 1057587.