Least Common Multiple of 739/12, 597/67, 860/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 739/12, 597/67, 860/775 quickly i.e. 379417380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 739/12, 597/67, 860/775 is 379417380.

LCM(739/12, 597/67, 860/775) = 379417380

LCM of 739/12, 597/67, 860/775

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 739/12,597/67,860/775

Given numbers are 739/12,597/67,860/775

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 739,597,860

Least Common Multiple of Numerators i.e. LCM of 739,597,860 is 379417380.

GCF of Denominators means GCF of 12,67,775 as per the given fractions.

GCF of 12,67,775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 739,597,860

LCM of Fractions 739/12,597/67,860/775 is 379417380

Given numbers has no common factors except 1. So, there LCM is their product i.e 379417380

Least Common Multiple of 739,597,860 with GCF Formula

Least Common Multiple of 739,597,860 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 739,597,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,597,860) = 1

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

GCF(739,597,860) x common factors =1 x 1 = 1

LCM(739,597,860) = ( 739 × 597 × 860 ) / 1

LCM(739,597,860) = 379417380 / 1

LCM(739,597,860) = 379417380


Lets's calculate GCF of 12,67,775

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 379417380/1

Therefore the LCM of Fractions 739/12,597/67,860/775 is 379417380

Greatest Common Factor of 12,67,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,67,775 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 12,67,775 . The biggest common factor number is the GCF number.
So the greatest common factor 12,67,775 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 739/12, 597/67, 860/775

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 739/12, 597/67, 860/775?

Answer: LCM of Numerators as per given numbers 739/12, 597/67, 860/775 is

LCM of Numerators i.e. for 739,597,860 is 379417380

GCF of denominators i.e. for 12,67,775 is 1.

Thus, LCM of Fractions is 379417380.Finally, LCM of Fractions for 739/12, 597/67, 860/775 is 379417380.