Least Common Multiple of 85/969, 26/614, 818/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/969, 26/614, 818/252 quickly i.e. 903890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/969, 26/614, 818/252 is 903890.

LCM(85/969, 26/614, 818/252) = 903890

LCM of 85/969, 26/614, 818/252

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 85/969,26/614,818/252

Given numbers are 85/969,26/614,818/252

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 85,26,818

Least Common Multiple of Numerators i.e. LCM of 85,26,818 is 903890.

GCF of Denominators means GCF of 969,614,252 as per the given fractions.

GCF of 969,614,252 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,26,818

LCM of Fractions 85/969,26/614,818/252 is 903890

2 85, 26, 818
85, 13, 409

∴ So the LCM of the given numbers is 2 x 85 x 13 x 409 = 903890

Least Common Multiple of 85,26,818 with GCF Formula

Least Common Multiple of 85,26,818 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 85,26,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,26,818) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(85,26,818) x common factors =1 x 2 = 2

LCM(85,26,818) = ( 85 × 26 × 818 ) / 2

LCM(85,26,818) = 1807780 / 2

LCM(85,26,818) = 903890


Lets's calculate GCF of 969,614,252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 903890/1

Therefore the LCM of Fractions 85/969,26/614,818/252 is 903890

Greatest Common Factor of 969,614,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,614,252 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 969,614,252 . The biggest common factor number is the GCF number.
So the greatest common factor 969,614,252 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 85/969, 26/614, 818/252

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 85/969, 26/614, 818/252?

Answer: LCM of Numerators as per given numbers 85/969, 26/614, 818/252 is

LCM of Numerators i.e. for 85,26,818 is 903890

GCF of denominators i.e. for 969,614,252 is 1.

Thus, LCM of Fractions is 903890.Finally, LCM of Fractions for 85/969, 26/614, 818/252 is 903890.