Least Common Multiple of 451/113, 308/952, 965/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 451/113, 308/952, 965/951 quickly i.e. 12186020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 451/113, 308/952, 965/951 is 12186020.

LCM(451/113, 308/952, 965/951) = 12186020

LCM of 451/113, 308/952, 965/951

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 451/113,308/952,965/951

Given numbers are 451/113,308/952,965/951

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 451,308,965

Least Common Multiple of Numerators i.e. LCM of 451,308,965 is 12186020.

GCF of Denominators means GCF of 113,952,951 as per the given fractions.

GCF of 113,952,951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 451,308,965

LCM of Fractions 451/113,308/952,965/951 is 12186020

11 451, 308, 965
41, 28, 965

∴ So the LCM of the given numbers is 11 x 41 x 28 x 965 = 12186020

Least Common Multiple of 451,308,965 with GCF Formula

Least Common Multiple of 451,308,965 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 451,308,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,308,965) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(451,308,965) x common factors =1 x 11 = 11

LCM(451,308,965) = ( 451 × 308 × 965 ) / 11

LCM(451,308,965) = 134046220 / 11

LCM(451,308,965) = 12186020


Lets's calculate GCF of 113,952,951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12186020/1

Therefore the LCM of Fractions 451/113,308/952,965/951 is 12186020

Greatest Common Factor of 113,952,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,952,951 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 113,952,951 . The biggest common factor number is the GCF number.
So the greatest common factor 113,952,951 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 451/113, 308/952, 965/951

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 451/113, 308/952, 965/951?

Answer: LCM of Numerators as per given numbers 451/113, 308/952, 965/951 is

LCM of Numerators i.e. for 451,308,965 is 12186020

GCF of denominators i.e. for 113,952,951 is 1.

Thus, LCM of Fractions is 12186020.Finally, LCM of Fractions for 451/113, 308/952, 965/951 is 12186020.