Least Common Multiple of 754/220, 6385/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/220, 6385/474 quickly i.e. 2407145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/220, 6385/474 is 2407145.

LCM(754/220, 6385/474) = 2407145

LCM of 754/220, 6385/474

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 754/220,6385/474

Given numbers are 754/220,6385/474

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 754,6385

Least Common Multiple of Numerators i.e. LCM of 754,6385 is 4814290.

GCF of Denominators means GCF of 220,474 as per the given fractions.

GCF of 220,474 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,6385

LCM of Fractions 754/220,6385/474 is 2407145

Given numbers has no common factors except 1. So, there LCM is their product i.e 4814290

Least Common Multiple of 754,6385 with GCF Formula

Least Common Multiple of 754,6385 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 754,6385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,6385) = 1

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

GCF(754,6385) x common factors =1 x 1 = 1

LCM(754,6385) = ( 754 × 6385 ) / 1

LCM(754,6385) = 4814290 / 1

LCM(754,6385) = 4814290


Lets's calculate GCF of 220,474

2 220, 474
110, 237

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4814290/2

Therefore the LCM of Fractions 754/220,6385/474 is 2407145

Greatest Common Factor of 220,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,474 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 220,474 . The biggest common factor number is the GCF number.
So the greatest common factor 220,474 is 2.


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 754/220, 6385/474

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 754/220, 6385/474?

Answer: LCM of Numerators as per given numbers 754/220, 6385/474 is

LCM of Numerators i.e. for 754,6385 is 4814290

GCF of denominators i.e. for 220,474 is 2.

Thus, LCM of Fractions is 2407145.Finally, LCM of Fractions for 754/220, 6385/474 is 2407145.