Least Common Multiple of 454/71, 964/1091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 454/71, 964/1091 quickly i.e. 218828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 454/71, 964/1091 is 218828.

LCM(454/71, 964/1091) = 218828

LCM of 454/71, 964/1091

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 454/71,964/1091

Given numbers are 454/71,964/1091

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 454,964

Least Common Multiple of Numerators i.e. LCM of 454,964 is 218828.

GCF of Denominators means GCF of 71,1091 as per the given fractions.

GCF of 71,1091 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 454,964

LCM of Fractions 454/71,964/1091 is 218828

2 454, 964
227, 482

∴ So the LCM of the given numbers is 2 x 227 x 482 = 218828

Least Common Multiple of 454,964 with GCF Formula

Least Common Multiple of 454,964 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 454,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,964) = 2

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

GCF(454,964) x common factors =2 x 1 = 2

LCM(454,964) = ( 454 × 964 ) / 2

LCM(454,964) = 437656 / 2

LCM(454,964) = 218828


Lets's calculate GCF of 71,1091

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218828/1

Therefore the LCM of Fractions 454/71,964/1091 is 218828

Greatest Common Factor of 71,1091 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,1091 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 1091

List of positive integer factors of 1091 that divides 1091 without a remainder.

1,1091

Greatest Common Factor

We found the factors 71,1091 . The biggest common factor number is the GCF number.
So the greatest common factor 71,1091 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 454/71, 964/1091

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 454/71, 964/1091?

Answer: LCM of Numerators as per given numbers 454/71, 964/1091 is

LCM of Numerators i.e. for 454,964 is 218828

GCF of denominators i.e. for 71,1091 is 1.

Thus, LCM of Fractions is 218828.Finally, LCM of Fractions for 454/71, 964/1091 is 218828.