Least Common Multiple of 8864/852, 7705/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8864/852, 7705/940 quickly i.e. 17074280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8864/852, 7705/940 is 17074280.

LCM(8864/852, 7705/940) = 17074280

LCM of 8864/852, 7705/940

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 8864/852,7705/940

Given numbers are 8864/852,7705/940

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 8864,7705

Least Common Multiple of Numerators i.e. LCM of 8864,7705 is 68297120.

GCF of Denominators means GCF of 852,940 as per the given fractions.

GCF of 852,940 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8864,7705

LCM of Fractions 8864/852,7705/940 is 17074280

Given numbers has no common factors except 1. So, there LCM is their product i.e 68297120

Least Common Multiple of 8864,7705 with GCF Formula

Least Common Multiple of 8864,7705 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 8864,7705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8864,7705) = 1

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

GCF(8864,7705) x common factors =1 x 1 = 1

LCM(8864,7705) = ( 8864 × 7705 ) / 1

LCM(8864,7705) = 68297120 / 1

LCM(8864,7705) = 68297120


Lets's calculate GCF of 852,940

2 852, 940
2 426, 470
213, 235

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68297120/4

Therefore the LCM of Fractions 8864/852,7705/940 is 17074280

Greatest Common Factor of 852,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,940 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 852,940 . The biggest common factor number is the GCF number.
So the greatest common factor 852,940 is 4.


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 8864/852, 7705/940

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 8864/852, 7705/940?

Answer: LCM of Numerators as per given numbers 8864/852, 7705/940 is

LCM of Numerators i.e. for 8864,7705 is 68297120

GCF of denominators i.e. for 852,940 is 4.

Thus, LCM of Fractions is 17074280.Finally, LCM of Fractions for 8864/852, 7705/940 is 17074280.