Least Common Multiple of 71/145, 95/270, 892/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/145, 95/270, 892/785 quickly i.e. 1203308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/145, 95/270, 892/785 is 1203308.

LCM(71/145, 95/270, 892/785) = 1203308

LCM of 71/145, 95/270, 892/785

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 71/145,95/270,892/785

Given numbers are 71/145,95/270,892/785

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 71,95,892

Least Common Multiple of Numerators i.e. LCM of 71,95,892 is 6016540.

GCF of Denominators means GCF of 145,270,785 as per the given fractions.

GCF of 145,270,785 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,95,892

LCM of Fractions 71/145,95/270,892/785 is 1203308

Given numbers has no common factors except 1. So, there LCM is their product i.e 6016540

Least Common Multiple of 71,95,892 with GCF Formula

Least Common Multiple of 71,95,892 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 71,95,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,95,892) = 1

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

GCF(71,95,892) x common factors =1 x 1 = 1

LCM(71,95,892) = ( 71 × 95 × 892 ) / 1

LCM(71,95,892) = 6016540 / 1

LCM(71,95,892) = 6016540


Lets's calculate GCF of 145,270,785

5 145, 270, 785
29, 54, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6016540/5

Therefore the LCM of Fractions 71/145,95/270,892/785 is 1203308

Greatest Common Factor of 145,270,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,270,785 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

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 145,270,785 . The biggest common factor number is the GCF number.
So the greatest common factor 145,270,785 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 71/145, 95/270, 892/785

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 71/145, 95/270, 892/785?

Answer: LCM of Numerators as per given numbers 71/145, 95/270, 892/785 is

LCM of Numerators i.e. for 71,95,892 is 6016540

GCF of denominators i.e. for 145,270,785 is 5.

Thus, LCM of Fractions is 1203308.Finally, LCM of Fractions for 71/145, 95/270, 892/785 is 1203308.