Least Common Multiple of 9871/343, 6348/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9871/343, 6348/899 quickly i.e. 62661108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9871/343, 6348/899 is 62661108.

LCM(9871/343, 6348/899) = 62661108

LCM of 9871/343, 6348/899

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 9871/343,6348/899

Given numbers are 9871/343,6348/899

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 9871,6348

Least Common Multiple of Numerators i.e. LCM of 9871,6348 is 62661108.

GCF of Denominators means GCF of 343,899 as per the given fractions.

GCF of 343,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9871,6348

LCM of Fractions 9871/343,6348/899 is 62661108

Given numbers has no common factors except 1. So, there LCM is their product i.e 62661108

Least Common Multiple of 9871,6348 with GCF Formula

Least Common Multiple of 9871,6348 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 9871,6348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9871,6348) = 1

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

GCF(9871,6348) x common factors =1 x 1 = 1

LCM(9871,6348) = ( 9871 × 6348 ) / 1

LCM(9871,6348) = 62661108 / 1

LCM(9871,6348) = 62661108


Lets's calculate GCF of 343,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62661108/1

Therefore the LCM of Fractions 9871/343,6348/899 is 62661108

Greatest Common Factor of 343,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,899 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 343,899 . The biggest common factor number is the GCF number.
So the greatest common factor 343,899 is 1.


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Frequently Asked Questions on Fractional LCM of 9871/343, 6348/899

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 9871/343, 6348/899?

Answer: LCM of Numerators as per given numbers 9871/343, 6348/899 is

LCM of Numerators i.e. for 9871,6348 is 62661108

GCF of denominators i.e. for 343,899 is 1.

Thus, LCM of Fractions is 62661108.Finally, LCM of Fractions for 9871/343, 6348/899 is 62661108.