Least Common Multiple of 7256/480, 2058/7142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7256/480, 2058/7142 quickly i.e. 3733212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7256/480, 2058/7142 is 3733212.

LCM(7256/480, 2058/7142) = 3733212

LCM of 7256/480, 2058/7142

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 7256/480,2058/7142

Given numbers are 7256/480,2058/7142

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 7256,2058

Least Common Multiple of Numerators i.e. LCM of 7256,2058 is 7466424.

GCF of Denominators means GCF of 480,7142 as per the given fractions.

GCF of 480,7142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7256,2058

LCM of Fractions 7256/480,2058/7142 is 3733212

2 7256, 2058
3628, 1029

∴ So the LCM of the given numbers is 2 x 3628 x 1029 = 7466424

Least Common Multiple of 7256,2058 with GCF Formula

Least Common Multiple of 7256,2058 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 7256,2058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7256,2058) = 2

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

GCF(7256,2058) x common factors =2 x 1 = 2

LCM(7256,2058) = ( 7256 × 2058 ) / 2

LCM(7256,2058) = 14932848 / 2

LCM(7256,2058) = 7466424


Lets's calculate GCF of 480,7142

2 480, 7142
240, 3571

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7466424/2

Therefore the LCM of Fractions 7256/480,2058/7142 is 3733212

Greatest Common Factor of 480,7142 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,7142 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 7142

List of positive integer factors of 7142 that divides 7142 without a remainder.

1,2,3571,7142

Greatest Common Factor

We found the factors 480,7142 . The biggest common factor number is the GCF number.
So the greatest common factor 480,7142 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 7256/480, 2058/7142

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 7256/480, 2058/7142?

Answer: LCM of Numerators as per given numbers 7256/480, 2058/7142 is

LCM of Numerators i.e. for 7256,2058 is 7466424

GCF of denominators i.e. for 480,7142 is 2.

Thus, LCM of Fractions is 3733212.Finally, LCM of Fractions for 7256/480, 2058/7142 is 3733212.