Least Common Multiple of 461/881, 251/141, 429/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 461/881, 251/141, 429/751 quickly i.e. 49640019 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/881, 251/141, 429/751 is 49640019.

LCM(461/881, 251/141, 429/751) = 49640019

LCM of 461/881, 251/141, 429/751

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 461/881,251/141,429/751

Given numbers are 461/881,251/141,429/751

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 461,251,429

Least Common Multiple of Numerators i.e. LCM of 461,251,429 is 49640019.

GCF of Denominators means GCF of 881,141,751 as per the given fractions.

GCF of 881,141,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,251,429

LCM of Fractions 461/881,251/141,429/751 is 49640019

Given numbers has no common factors except 1. So, there LCM is their product i.e 49640019

Least Common Multiple of 461,251,429 with GCF Formula

Least Common Multiple of 461,251,429 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 461,251,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,251,429) = 1

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

GCF(461,251,429) x common factors =1 x 1 = 1

LCM(461,251,429) = ( 461 × 251 × 429 ) / 1

LCM(461,251,429) = 49640019 / 1

LCM(461,251,429) = 49640019


Lets's calculate GCF of 881,141,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49640019/1

Therefore the LCM of Fractions 461/881,251/141,429/751 is 49640019

Greatest Common Factor of 881,141,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 881,141,751 By Matching Biggest Common Factor Method

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 881,141,751 . The biggest common factor number is the GCF number.
So the greatest common factor 881,141,751 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 461/881, 251/141, 429/751

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 461/881, 251/141, 429/751?

Answer: LCM of Numerators as per given numbers 461/881, 251/141, 429/751 is

LCM of Numerators i.e. for 461,251,429 is 49640019

GCF of denominators i.e. for 881,141,751 is 1.

Thus, LCM of Fractions is 49640019.Finally, LCM of Fractions for 461/881, 251/141, 429/751 is 49640019.