Least Common Multiple of 449/85, 875/6548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 449/85, 875/6548 quickly i.e. 392875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/85, 875/6548 is 392875.

LCM(449/85, 875/6548) = 392875

LCM of 449/85, 875/6548

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 449/85,875/6548

Given numbers are 449/85,875/6548

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 449,875

Least Common Multiple of Numerators i.e. LCM of 449,875 is 392875.

GCF of Denominators means GCF of 85,6548 as per the given fractions.

GCF of 85,6548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,875

LCM of Fractions 449/85,875/6548 is 392875

Given numbers has no common factors except 1. So, there LCM is their product i.e 392875

Least Common Multiple of 449,875 with GCF Formula

Least Common Multiple of 449,875 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 449,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,875) = 1

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

GCF(449,875) x common factors =1 x 1 = 1

LCM(449,875) = ( 449 × 875 ) / 1

LCM(449,875) = 392875 / 1

LCM(449,875) = 392875


Lets's calculate GCF of 85,6548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392875/1

Therefore the LCM of Fractions 449/85,875/6548 is 392875

Greatest Common Factor of 85,6548 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,6548 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 6548

List of positive integer factors of 6548 that divides 6548 without a remainder.

1,2,4,1637,3274,6548

Greatest Common Factor

We found the factors 85,6548 . The biggest common factor number is the GCF number.
So the greatest common factor 85,6548 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 449/85, 875/6548

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 449/85, 875/6548?

Answer: LCM of Numerators as per given numbers 449/85, 875/6548 is

LCM of Numerators i.e. for 449,875 is 392875

GCF of denominators i.e. for 85,6548 is 1.

Thus, LCM of Fractions is 392875.Finally, LCM of Fractions for 449/85, 875/6548 is 392875.