Least Common Multiple of 9500/878, 6726/8492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9500/878, 6726/8492 quickly i.e. 840750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9500/878, 6726/8492 is 840750.

LCM(9500/878, 6726/8492) = 840750

LCM of 9500/878, 6726/8492

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 9500/878,6726/8492

Given numbers are 9500/878,6726/8492

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 9500,6726

Least Common Multiple of Numerators i.e. LCM of 9500,6726 is 1681500.

GCF of Denominators means GCF of 878,8492 as per the given fractions.

GCF of 878,8492 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9500,6726

LCM of Fractions 9500/878,6726/8492 is 840750

2 9500, 6726
19 4750, 3363
250, 177

∴ So the LCM of the given numbers is 2 x 19 x 250 x 177 = 1681500

Least Common Multiple of 9500,6726 with GCF Formula

Least Common Multiple of 9500,6726 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 9500,6726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9500,6726) = 38

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

GCF(9500,6726) x common factors =38 x 1 = 38

LCM(9500,6726) = ( 9500 × 6726 ) / 38

LCM(9500,6726) = 63897000 / 38

LCM(9500,6726) = 1681500


Lets's calculate GCF of 878,8492

2 878, 8492
439, 4246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1681500/2

Therefore the LCM of Fractions 9500/878,6726/8492 is 840750

Greatest Common Factor of 878,8492 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,8492 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 8492

List of positive integer factors of 8492 that divides 8492 without a remainder.

1,2,4,11,22,44,193,386,772,2123,4246,8492

Greatest Common Factor

We found the factors 878,8492 . The biggest common factor number is the GCF number.
So the greatest common factor 878,8492 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 9500/878, 6726/8492

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 9500/878, 6726/8492?

Answer: LCM of Numerators as per given numbers 9500/878, 6726/8492 is

LCM of Numerators i.e. for 9500,6726 is 1681500

GCF of denominators i.e. for 878,8492 is 2.

Thus, LCM of Fractions is 840750.Finally, LCM of Fractions for 9500/878, 6726/8492 is 840750.