Least Common Multiple of 770/871, 736/140, 695/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 770/871, 736/140, 695/182 quickly i.e. 39387040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/871, 736/140, 695/182 is 39387040.

LCM(770/871, 736/140, 695/182) = 39387040

LCM of 770/871, 736/140, 695/182

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 770/871,736/140,695/182

Given numbers are 770/871,736/140,695/182

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 770,736,695

Least Common Multiple of Numerators i.e. LCM of 770,736,695 is 39387040.

GCF of Denominators means GCF of 871,140,182 as per the given fractions.

GCF of 871,140,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,736,695

LCM of Fractions 770/871,736/140,695/182 is 39387040

2 770, 736, 695
5 385, 368, 695
77, 368, 139

∴ So the LCM of the given numbers is 2 x 5 x 77 x 368 x 139 = 39387040

Least Common Multiple of 770,736,695 with GCF Formula

Least Common Multiple of 770,736,695 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 770,736,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,736,695) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(770,736,695) x common factors =1 x 10 = 10

LCM(770,736,695) = ( 770 × 736 × 695 ) / 10

LCM(770,736,695) = 393870400 / 10

LCM(770,736,695) = 39387040


Lets's calculate GCF of 871,140,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39387040/1

Therefore the LCM of Fractions 770/871,736/140,695/182 is 39387040

Greatest Common Factor of 871,140,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,140,182 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 871,140,182 . The biggest common factor number is the GCF number.
So the greatest common factor 871,140,182 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 770/871, 736/140, 695/182

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 770/871, 736/140, 695/182?

Answer: LCM of Numerators as per given numbers 770/871, 736/140, 695/182 is

LCM of Numerators i.e. for 770,736,695 is 39387040

GCF of denominators i.e. for 871,140,182 is 1.

Thus, LCM of Fractions is 39387040.Finally, LCM of Fractions for 770/871, 736/140, 695/182 is 39387040.