Least Common Multiple of 42/464, 11/701, 421/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/464, 11/701, 421/470 quickly i.e. 194502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/464, 11/701, 421/470 is 194502.

LCM(42/464, 11/701, 421/470) = 194502

LCM of 42/464, 11/701, 421/470

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 42/464,11/701,421/470

Given numbers are 42/464,11/701,421/470

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 42,11,421

Least Common Multiple of Numerators i.e. LCM of 42,11,421 is 194502.

GCF of Denominators means GCF of 464,701,470 as per the given fractions.

GCF of 464,701,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,11,421

LCM of Fractions 42/464,11/701,421/470 is 194502

Given numbers has no common factors except 1. So, there LCM is their product i.e 194502

Least Common Multiple of 42,11,421 with GCF Formula

Least Common Multiple of 42,11,421 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 42,11,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,11,421) = 1

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

GCF(42,11,421) x common factors =1 x 1 = 1

LCM(42,11,421) = ( 42 × 11 × 421 ) / 1

LCM(42,11,421) = 194502 / 1

LCM(42,11,421) = 194502


Lets's calculate GCF of 464,701,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194502/1

Therefore the LCM of Fractions 42/464,11/701,421/470 is 194502

Greatest Common Factor of 464,701,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,701,470 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 464,701,470 . The biggest common factor number is the GCF number.
So the greatest common factor 464,701,470 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 42/464, 11/701, 421/470

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 42/464, 11/701, 421/470?

Answer: LCM of Numerators as per given numbers 42/464, 11/701, 421/470 is

LCM of Numerators i.e. for 42,11,421 is 194502

GCF of denominators i.e. for 464,701,470 is 1.

Thus, LCM of Fractions is 194502.Finally, LCM of Fractions for 42/464, 11/701, 421/470 is 194502.