Least Common Multiple of 878/127, 830/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/127, 830/997 quickly i.e. 364370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/127, 830/997 is 364370.

LCM(878/127, 830/997) = 364370

LCM of 878/127, 830/997

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 878/127,830/997

Given numbers are 878/127,830/997

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 878,830

Least Common Multiple of Numerators i.e. LCM of 878,830 is 364370.

GCF of Denominators means GCF of 127,997 as per the given fractions.

GCF of 127,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,830

LCM of Fractions 878/127,830/997 is 364370

2 878, 830
439, 415

∴ So the LCM of the given numbers is 2 x 439 x 415 = 364370

Least Common Multiple of 878,830 with GCF Formula

Least Common Multiple of 878,830 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 878,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,830) = 2

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

GCF(878,830) x common factors =2 x 1 = 2

LCM(878,830) = ( 878 × 830 ) / 2

LCM(878,830) = 728740 / 2

LCM(878,830) = 364370


Lets's calculate GCF of 127,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364370/1

Therefore the LCM of Fractions 878/127,830/997 is 364370

Greatest Common Factor of 127,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,997 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 127,997 . The biggest common factor number is the GCF number.
So the greatest common factor 127,997 is 1.


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 878/127, 830/997

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 878/127, 830/997?

Answer: LCM of Numerators as per given numbers 878/127, 830/997 is

LCM of Numerators i.e. for 878,830 is 364370

GCF of denominators i.e. for 127,997 is 1.

Thus, LCM of Fractions is 364370.Finally, LCM of Fractions for 878/127, 830/997 is 364370.