Least Common Multiple of 474/381, 4870/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 474/381, 4870/762 quickly i.e. 1154190/381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/381, 4870/762 is 1154190/381.

LCM(474/381, 4870/762) = 1154190/381

LCM of 474/381, 4870/762

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 474/381,4870/762

Given numbers are 474/381,4870/762

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 474,4870

Least Common Multiple of Numerators i.e. LCM of 474,4870 is 1154190.

GCF of Denominators means GCF of 381,762 as per the given fractions.

GCF of 381,762 is 381 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,4870

LCM of Fractions 474/381,4870/762 is 1154190/381

2 474, 4870
237, 2435

∴ So the LCM of the given numbers is 2 x 237 x 2435 = 1154190

Least Common Multiple of 474,4870 with GCF Formula

Least Common Multiple of 474,4870 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 474,4870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,4870) = 2

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

GCF(474,4870) x common factors =2 x 1 = 2

LCM(474,4870) = ( 474 × 4870 ) / 2

LCM(474,4870) = 2308380 / 2

LCM(474,4870) = 1154190


Lets's calculate GCF of 381,762

3 381, 762
127 127, 254
1, 2

∴ So the GCF of the given numbers is 3 x 127 = 381

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1154190/381

Therefore the LCM of Fractions 474/381,4870/762 is 1154190/381

Greatest Common Factor of 381,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,762 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 381,762 . The biggest common factor number is the GCF number.
So the greatest common factor 381,762 is 381.


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 474/381, 4870/762

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 474/381, 4870/762?

Answer: LCM of Numerators as per given numbers 474/381, 4870/762 is

LCM of Numerators i.e. for 474,4870 is 1154190

GCF of denominators i.e. for 381,762 is 381.

Thus, LCM of Fractions is 1154190/381.Finally, LCM of Fractions for 474/381, 4870/762 is 1154190/381.