Least Common Multiple of 457/965, 1651/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/965, 1651/389 quickly i.e. 754507 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/965, 1651/389 is 754507.

LCM(457/965, 1651/389) = 754507

LCM of 457/965, 1651/389

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 457/965,1651/389

Given numbers are 457/965,1651/389

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 457,1651

Least Common Multiple of Numerators i.e. LCM of 457,1651 is 754507.

GCF of Denominators means GCF of 965,389 as per the given fractions.

GCF of 965,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,1651

LCM of Fractions 457/965,1651/389 is 754507

Given numbers has no common factors except 1. So, there LCM is their product i.e 754507

Least Common Multiple of 457,1651 with GCF Formula

Least Common Multiple of 457,1651 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 457,1651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,1651) = 1

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

GCF(457,1651) x common factors =1 x 1 = 1

LCM(457,1651) = ( 457 × 1651 ) / 1

LCM(457,1651) = 754507 / 1

LCM(457,1651) = 754507


Lets's calculate GCF of 965,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 754507/1

Therefore the LCM of Fractions 457/965,1651/389 is 754507

Greatest Common Factor of 965,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,389 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 965,389 . The biggest common factor number is the GCF number.
So the greatest common factor 965,389 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 457/965, 1651/389

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 457/965, 1651/389?

Answer: LCM of Numerators as per given numbers 457/965, 1651/389 is

LCM of Numerators i.e. for 457,1651 is 754507

GCF of denominators i.e. for 965,389 is 1.

Thus, LCM of Fractions is 754507.Finally, LCM of Fractions for 457/965, 1651/389 is 754507.