Least Common Multiple of 85/956, 40/818, 279/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/956, 40/818, 279/265 quickly i.e. 189720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/956, 40/818, 279/265 is 189720.

LCM(85/956, 40/818, 279/265) = 189720

LCM of 85/956, 40/818, 279/265

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 85/956,40/818,279/265

Given numbers are 85/956,40/818,279/265

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 85,40,279

Least Common Multiple of Numerators i.e. LCM of 85,40,279 is 189720.

GCF of Denominators means GCF of 956,818,265 as per the given fractions.

GCF of 956,818,265 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,40,279

LCM of Fractions 85/956,40/818,279/265 is 189720

5 85, 40, 279
17, 8, 279

∴ So the LCM of the given numbers is 5 x 17 x 8 x 279 = 189720

Least Common Multiple of 85,40,279 with GCF Formula

Least Common Multiple of 85,40,279 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 85,40,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,40,279) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,40,279) x common factors =1 x 5 = 5

LCM(85,40,279) = ( 85 × 40 × 279 ) / 5

LCM(85,40,279) = 948600 / 5

LCM(85,40,279) = 189720


Lets's calculate GCF of 956,818,265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189720/1

Therefore the LCM of Fractions 85/956,40/818,279/265 is 189720

Greatest Common Factor of 956,818,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,818,265 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 956,818,265 . The biggest common factor number is the GCF number.
So the greatest common factor 956,818,265 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 85/956, 40/818, 279/265

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 85/956, 40/818, 279/265?

Answer: LCM of Numerators as per given numbers 85/956, 40/818, 279/265 is

LCM of Numerators i.e. for 85,40,279 is 189720

GCF of denominators i.e. for 956,818,265 is 1.

Thus, LCM of Fractions is 189720.Finally, LCM of Fractions for 85/956, 40/818, 279/265 is 189720.