Least Common Multiple of 743/970, 827/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/970, 827/170 quickly i.e. 614461/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/970, 827/170 is 614461/10.

LCM(743/970, 827/170) = 614461/10

LCM of 743/970, 827/170

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 743/970,827/170

Given numbers are 743/970,827/170

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 743,827

Least Common Multiple of Numerators i.e. LCM of 743,827 is 614461.

GCF of Denominators means GCF of 970,170 as per the given fractions.

GCF of 970,170 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,827

LCM of Fractions 743/970,827/170 is 614461/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 614461

Least Common Multiple of 743,827 with GCF Formula

Least Common Multiple of 743,827 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 743,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,827) = 1

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

GCF(743,827) x common factors =1 x 1 = 1

LCM(743,827) = ( 743 × 827 ) / 1

LCM(743,827) = 614461 / 1

LCM(743,827) = 614461


Lets's calculate GCF of 970,170

2 970, 170
5 485, 85
97, 17

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 614461/10

Therefore the LCM of Fractions 743/970,827/170 is 614461/10

Greatest Common Factor of 970,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,170 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 970,170 . The biggest common factor number is the GCF number.
So the greatest common factor 970,170 is 10.


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 743/970, 827/170

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 743/970, 827/170?

Answer: LCM of Numerators as per given numbers 743/970, 827/170 is

LCM of Numerators i.e. for 743,827 is 614461

GCF of denominators i.e. for 970,170 is 10.

Thus, LCM of Fractions is 614461/10.Finally, LCM of Fractions for 743/970, 827/170 is 614461/10.