Least Common Multiple of 869/545, 256/340, 577/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 869/545, 256/340, 577/148 quickly i.e. 128361728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 869/545, 256/340, 577/148 is 128361728.

LCM(869/545, 256/340, 577/148) = 128361728

LCM of 869/545, 256/340, 577/148

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 869/545,256/340,577/148

Given numbers are 869/545,256/340,577/148

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 869,256,577

Least Common Multiple of Numerators i.e. LCM of 869,256,577 is 128361728.

GCF of Denominators means GCF of 545,340,148 as per the given fractions.

GCF of 545,340,148 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 869,256,577

LCM of Fractions 869/545,256/340,577/148 is 128361728

Given numbers has no common factors except 1. So, there LCM is their product i.e 128361728

Least Common Multiple of 869,256,577 with GCF Formula

Least Common Multiple of 869,256,577 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 869,256,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,256,577) = 1

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

GCF(869,256,577) x common factors =1 x 1 = 1

LCM(869,256,577) = ( 869 × 256 × 577 ) / 1

LCM(869,256,577) = 128361728 / 1

LCM(869,256,577) = 128361728


Lets's calculate GCF of 545,340,148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128361728/1

Therefore the LCM of Fractions 869/545,256/340,577/148 is 128361728

Greatest Common Factor of 545,340,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,340,148 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 545,340,148 . The biggest common factor number is the GCF number.
So the greatest common factor 545,340,148 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 869/545, 256/340, 577/148

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 869/545, 256/340, 577/148?

Answer: LCM of Numerators as per given numbers 869/545, 256/340, 577/148 is

LCM of Numerators i.e. for 869,256,577 is 128361728

GCF of denominators i.e. for 545,340,148 is 1.

Thus, LCM of Fractions is 128361728.Finally, LCM of Fractions for 869/545, 256/340, 577/148 is 128361728.