Least Common Multiple of 456/29, 917/7433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/29, 917/7433 quickly i.e. 418152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/29, 917/7433 is 418152.

LCM(456/29, 917/7433) = 418152

LCM of 456/29, 917/7433

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 456/29,917/7433

Given numbers are 456/29,917/7433

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 456,917

Least Common Multiple of Numerators i.e. LCM of 456,917 is 418152.

GCF of Denominators means GCF of 29,7433 as per the given fractions.

GCF of 29,7433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,917

LCM of Fractions 456/29,917/7433 is 418152

Given numbers has no common factors except 1. So, there LCM is their product i.e 418152

Least Common Multiple of 456,917 with GCF Formula

Least Common Multiple of 456,917 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 456,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,917) = 1

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

GCF(456,917) x common factors =1 x 1 = 1

LCM(456,917) = ( 456 × 917 ) / 1

LCM(456,917) = 418152 / 1

LCM(456,917) = 418152


Lets's calculate GCF of 29,7433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418152/1

Therefore the LCM of Fractions 456/29,917/7433 is 418152

Greatest Common Factor of 29,7433 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,7433 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 7433

List of positive integer factors of 7433 that divides 7433 without a remainder.

1,7433

Greatest Common Factor

We found the factors 29,7433 . The biggest common factor number is the GCF number.
So the greatest common factor 29,7433 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 456/29, 917/7433

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 456/29, 917/7433?

Answer: LCM of Numerators as per given numbers 456/29, 917/7433 is

LCM of Numerators i.e. for 456,917 is 418152

GCF of denominators i.e. for 29,7433 is 1.

Thus, LCM of Fractions is 418152.Finally, LCM of Fractions for 456/29, 917/7433 is 418152.