Least Common Multiple of 743/67, 964/9710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/67, 964/9710 quickly i.e. 716252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/67, 964/9710 is 716252.

LCM(743/67, 964/9710) = 716252

LCM of 743/67, 964/9710

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 743/67,964/9710

Given numbers are 743/67,964/9710

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 743,964

Least Common Multiple of Numerators i.e. LCM of 743,964 is 716252.

GCF of Denominators means GCF of 67,9710 as per the given fractions.

GCF of 67,9710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,964

LCM of Fractions 743/67,964/9710 is 716252

Given numbers has no common factors except 1. So, there LCM is their product i.e 716252

Least Common Multiple of 743,964 with GCF Formula

Least Common Multiple of 743,964 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 743,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,964) = 1

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

GCF(743,964) x common factors =1 x 1 = 1

LCM(743,964) = ( 743 × 964 ) / 1

LCM(743,964) = 716252 / 1

LCM(743,964) = 716252


Lets's calculate GCF of 67,9710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 716252/1

Therefore the LCM of Fractions 743/67,964/9710 is 716252

Greatest Common Factor of 67,9710 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,9710 By Matching Biggest Common Factor Method

Factors of 67

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

1,67

Factors of 9710

List of positive integer factors of 9710 that divides 9710 without a remainder.

1,2,5,10,971,1942,4855,9710

Greatest Common Factor

We found the factors 67,9710 . The biggest common factor number is the GCF number.
So the greatest common factor 67,9710 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 743/67, 964/9710

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 743/67, 964/9710?

Answer: LCM of Numerators as per given numbers 743/67, 964/9710 is

LCM of Numerators i.e. for 743,964 is 716252

GCF of denominators i.e. for 67,9710 is 1.

Thus, LCM of Fractions is 716252.Finally, LCM of Fractions for 743/67, 964/9710 is 716252.