Least Common Multiple of 160/788, 7162/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 160/788, 7162/263 quickly i.e. 572960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 160/788, 7162/263 is 572960.

LCM(160/788, 7162/263) = 572960

LCM of 160/788, 7162/263

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 160/788,7162/263

Given numbers are 160/788,7162/263

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 160,7162

Least Common Multiple of Numerators i.e. LCM of 160,7162 is 572960.

GCF of Denominators means GCF of 788,263 as per the given fractions.

GCF of 788,263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 160,7162

LCM of Fractions 160/788,7162/263 is 572960

2 160, 7162
80, 3581

∴ So the LCM of the given numbers is 2 x 80 x 3581 = 572960

Least Common Multiple of 160,7162 with GCF Formula

Least Common Multiple of 160,7162 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 160,7162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,7162) = 2

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

GCF(160,7162) x common factors =2 x 1 = 2

LCM(160,7162) = ( 160 × 7162 ) / 2

LCM(160,7162) = 1145920 / 2

LCM(160,7162) = 572960


Lets's calculate GCF of 788,263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572960/1

Therefore the LCM of Fractions 160/788,7162/263 is 572960

Greatest Common Factor of 788,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,263 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Greatest Common Factor

We found the factors 788,263 . The biggest common factor number is the GCF number.
So the greatest common factor 788,263 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 160/788, 7162/263

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 160/788, 7162/263?

Answer: LCM of Numerators as per given numbers 160/788, 7162/263 is

LCM of Numerators i.e. for 160,7162 is 572960

GCF of denominators i.e. for 788,263 is 1.

Thus, LCM of Fractions is 572960.Finally, LCM of Fractions for 160/788, 7162/263 is 572960.