Least Common Multiple of 265/409, 882/610, 138/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 265/409, 882/610, 138/785 quickly i.e. 5375790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/409, 882/610, 138/785 is 5375790.

LCM(265/409, 882/610, 138/785) = 5375790

LCM of 265/409, 882/610, 138/785

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 265/409,882/610,138/785

Given numbers are 265/409,882/610,138/785

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 265,882,138

Least Common Multiple of Numerators i.e. LCM of 265,882,138 is 5375790.

GCF of Denominators means GCF of 409,610,785 as per the given fractions.

GCF of 409,610,785 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,882,138

LCM of Fractions 265/409,882/610,138/785 is 5375790

2 265, 882, 138
3 265, 441, 69
265, 147, 23

∴ So the LCM of the given numbers is 2 x 3 x 265 x 147 x 23 = 5375790

Least Common Multiple of 265,882,138 with GCF Formula

Least Common Multiple of 265,882,138 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 265,882,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,882,138) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(265,882,138) x common factors =1 x 6 = 6

LCM(265,882,138) = ( 265 × 882 × 138 ) / 6

LCM(265,882,138) = 32254740 / 6

LCM(265,882,138) = 5375790


Lets's calculate GCF of 409,610,785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5375790/1

Therefore the LCM of Fractions 265/409,882/610,138/785 is 5375790

Greatest Common Factor of 409,610,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,610,785 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 409,610,785 . The biggest common factor number is the GCF number.
So the greatest common factor 409,610,785 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 265/409, 882/610, 138/785

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 265/409, 882/610, 138/785?

Answer: LCM of Numerators as per given numbers 265/409, 882/610, 138/785 is

LCM of Numerators i.e. for 265,882,138 is 5375790

GCF of denominators i.e. for 409,610,785 is 1.

Thus, LCM of Fractions is 5375790.Finally, LCM of Fractions for 265/409, 882/610, 138/785 is 5375790.