Least Common Multiple of 541/816, 351/545, 796/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 541/816, 351/545, 796/967 quickly i.e. 151153236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 541/816, 351/545, 796/967 is 151153236.

LCM(541/816, 351/545, 796/967) = 151153236

LCM of 541/816, 351/545, 796/967

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 541/816,351/545,796/967

Given numbers are 541/816,351/545,796/967

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 541,351,796

Least Common Multiple of Numerators i.e. LCM of 541,351,796 is 151153236.

GCF of Denominators means GCF of 816,545,967 as per the given fractions.

GCF of 816,545,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 541,351,796

LCM of Fractions 541/816,351/545,796/967 is 151153236

Given numbers has no common factors except 1. So, there LCM is their product i.e 151153236

Least Common Multiple of 541,351,796 with GCF Formula

Least Common Multiple of 541,351,796 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 541,351,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,351,796) = 1

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

GCF(541,351,796) x common factors =1 x 1 = 1

LCM(541,351,796) = ( 541 × 351 × 796 ) / 1

LCM(541,351,796) = 151153236 / 1

LCM(541,351,796) = 151153236


Lets's calculate GCF of 816,545,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151153236/1

Therefore the LCM of Fractions 541/816,351/545,796/967 is 151153236

Greatest Common Factor of 816,545,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,545,967 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 545

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

1,5,109,545

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 816,545,967 . The biggest common factor number is the GCF number.
So the greatest common factor 816,545,967 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 541/816, 351/545, 796/967

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 541/816, 351/545, 796/967?

Answer: LCM of Numerators as per given numbers 541/816, 351/545, 796/967 is

LCM of Numerators i.e. for 541,351,796 is 151153236

GCF of denominators i.e. for 816,545,967 is 1.

Thus, LCM of Fractions is 151153236.Finally, LCM of Fractions for 541/816, 351/545, 796/967 is 151153236.