Least Common Multiple of 6484/428, 5537/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6484/428, 5537/862 quickly i.e. 17950954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6484/428, 5537/862 is 17950954.

LCM(6484/428, 5537/862) = 17950954

LCM of 6484/428, 5537/862

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 6484/428,5537/862

Given numbers are 6484/428,5537/862

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 6484,5537

Least Common Multiple of Numerators i.e. LCM of 6484,5537 is 35901908.

GCF of Denominators means GCF of 428,862 as per the given fractions.

GCF of 428,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6484,5537

LCM of Fractions 6484/428,5537/862 is 17950954

Given numbers has no common factors except 1. So, there LCM is their product i.e 35901908

Least Common Multiple of 6484,5537 with GCF Formula

Least Common Multiple of 6484,5537 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 6484,5537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6484,5537) = 1

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

GCF(6484,5537) x common factors =1 x 1 = 1

LCM(6484,5537) = ( 6484 × 5537 ) / 1

LCM(6484,5537) = 35901908 / 1

LCM(6484,5537) = 35901908


Lets's calculate GCF of 428,862

2 428, 862
214, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35901908/2

Therefore the LCM of Fractions 6484/428,5537/862 is 17950954

Greatest Common Factor of 428,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,862 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 428,862 . The biggest common factor number is the GCF number.
So the greatest common factor 428,862 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6484/428, 5537/862

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 6484/428, 5537/862?

Answer: LCM of Numerators as per given numbers 6484/428, 5537/862 is

LCM of Numerators i.e. for 6484,5537 is 35901908

GCF of denominators i.e. for 428,862 is 2.

Thus, LCM of Fractions is 17950954.Finally, LCM of Fractions for 6484/428, 5537/862 is 17950954.