Least Common Multiple of 850/785, 917/260, 302/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 850/785, 917/260, 302/865 quickly i.e. 23539390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 850/785, 917/260, 302/865 is 23539390.

LCM(850/785, 917/260, 302/865) = 23539390

LCM of 850/785, 917/260, 302/865

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 850/785,917/260,302/865

Given numbers are 850/785,917/260,302/865

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 850,917,302

Least Common Multiple of Numerators i.e. LCM of 850,917,302 is 117696950.

GCF of Denominators means GCF of 785,260,865 as per the given fractions.

GCF of 785,260,865 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 850,917,302

LCM of Fractions 850/785,917/260,302/865 is 23539390

2 850, 917, 302
425, 917, 151

∴ So the LCM of the given numbers is 2 x 425 x 917 x 151 = 117696950

Least Common Multiple of 850,917,302 with GCF Formula

Least Common Multiple of 850,917,302 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 850,917,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,917,302) = 1

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

GCF(850,917,302) x common factors =1 x 2 = 2

LCM(850,917,302) = ( 850 × 917 × 302 ) / 2

LCM(850,917,302) = 235393900 / 2

LCM(850,917,302) = 117696950


Lets's calculate GCF of 785,260,865

5 785, 260, 865
157, 52, 173

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117696950/5

Therefore the LCM of Fractions 850/785,917/260,302/865 is 23539390

Greatest Common Factor of 785,260,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,260,865 By Matching Biggest Common Factor Method

Factors of 785

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

1,5,157,785

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 785,260,865 . The biggest common factor number is the GCF number.
So the greatest common factor 785,260,865 is 5.


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 850/785, 917/260, 302/865

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 850/785, 917/260, 302/865?

Answer: LCM of Numerators as per given numbers 850/785, 917/260, 302/865 is

LCM of Numerators i.e. for 850,917,302 is 117696950

GCF of denominators i.e. for 785,260,865 is 5.

Thus, LCM of Fractions is 23539390.Finally, LCM of Fractions for 850/785, 917/260, 302/865 is 23539390.