Least Common Multiple of 280/567, 8058/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/567, 8058/497 quickly i.e. 161160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/567, 8058/497 is 161160.

LCM(280/567, 8058/497) = 161160

LCM of 280/567, 8058/497

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 280/567,8058/497

Given numbers are 280/567,8058/497

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 280,8058

Least Common Multiple of Numerators i.e. LCM of 280,8058 is 1128120.

GCF of Denominators means GCF of 567,497 as per the given fractions.

GCF of 567,497 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,8058

LCM of Fractions 280/567,8058/497 is 161160

2 280, 8058
140, 4029

∴ So the LCM of the given numbers is 2 x 140 x 4029 = 1128120

Least Common Multiple of 280,8058 with GCF Formula

Least Common Multiple of 280,8058 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 280,8058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,8058) = 2

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

GCF(280,8058) x common factors =2 x 1 = 2

LCM(280,8058) = ( 280 × 8058 ) / 2

LCM(280,8058) = 2256240 / 2

LCM(280,8058) = 1128120


Lets's calculate GCF of 567,497

7 567, 497
81, 71

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1128120/7

Therefore the LCM of Fractions 280/567,8058/497 is 161160

Greatest Common Factor of 567,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,497 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 567,497 . The biggest common factor number is the GCF number.
So the greatest common factor 567,497 is 7.


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 280/567, 8058/497

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 280/567, 8058/497?

Answer: LCM of Numerators as per given numbers 280/567, 8058/497 is

LCM of Numerators i.e. for 280,8058 is 1128120

GCF of denominators i.e. for 567,497 is 7.

Thus, LCM of Fractions is 161160.Finally, LCM of Fractions for 280/567, 8058/497 is 161160.