Least Common Multiple of 734/39, 967/85, 967/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/39, 967/85, 967/680 quickly i.e. 709778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/39, 967/85, 967/680 is 709778.

LCM(734/39, 967/85, 967/680) = 709778

LCM of 734/39, 967/85, 967/680

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 734/39,967/85,967/680

Given numbers are 734/39,967/85,967/680

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 734,967,967

Least Common Multiple of Numerators i.e. LCM of 734,967,967 is 709778.

GCF of Denominators means GCF of 39,85,680 as per the given fractions.

GCF of 39,85,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,967,967

LCM of Fractions 734/39,967/85,967/680 is 709778

967 734, 967, 967
734, 1, 1

∴ So the LCM of the given numbers is 967 x 734 x 1 x 1 = 709778

Least Common Multiple of 734,967,967 with GCF Formula

Least Common Multiple of 734,967,967 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 734,967,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,967,967) = 1

common factors(in case of two or more numbers have common factors) = 967

GCF(734,967,967) x common factors =1 x 967 = 967

LCM(734,967,967) = ( 734 × 967 × 967 ) / 967

LCM(734,967,967) = 686355326 / 967

LCM(734,967,967) = 709778


Lets's calculate GCF of 39,85,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 709778/1

Therefore the LCM of Fractions 734/39,967/85,967/680 is 709778

Greatest Common Factor of 39,85,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,85,680 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 39,85,680 . The biggest common factor number is the GCF number.
So the greatest common factor 39,85,680 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 734/39, 967/85, 967/680

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 734/39, 967/85, 967/680?

Answer: LCM of Numerators as per given numbers 734/39, 967/85, 967/680 is

LCM of Numerators i.e. for 734,967,967 is 709778

GCF of denominators i.e. for 39,85,680 is 1.

Thus, LCM of Fractions is 709778.Finally, LCM of Fractions for 734/39, 967/85, 967/680 is 709778.