Least Common Multiple of 562/394, 6766/1460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/394, 6766/1460 quickly i.e. 950623 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/394, 6766/1460 is 950623.

LCM(562/394, 6766/1460) = 950623

LCM of 562/394, 6766/1460

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 562/394,6766/1460

Given numbers are 562/394,6766/1460

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 562,6766

Least Common Multiple of Numerators i.e. LCM of 562,6766 is 1901246.

GCF of Denominators means GCF of 394,1460 as per the given fractions.

GCF of 394,1460 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,6766

LCM of Fractions 562/394,6766/1460 is 950623

2 562, 6766
281, 3383

∴ So the LCM of the given numbers is 2 x 281 x 3383 = 1901246

Least Common Multiple of 562,6766 with GCF Formula

Least Common Multiple of 562,6766 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 562,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,6766) = 2

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

GCF(562,6766) x common factors =2 x 1 = 2

LCM(562,6766) = ( 562 × 6766 ) / 2

LCM(562,6766) = 3802492 / 2

LCM(562,6766) = 1901246


Lets's calculate GCF of 394,1460

2 394, 1460
197, 730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1901246/2

Therefore the LCM of Fractions 562/394,6766/1460 is 950623

Greatest Common Factor of 394,1460 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,1460 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 1460

List of positive integer factors of 1460 that divides 1460 without a remainder.

1,2,4,5,10,20,73,146,292,365,730,1460

Greatest Common Factor

We found the factors 394,1460 . The biggest common factor number is the GCF number.
So the greatest common factor 394,1460 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 562/394, 6766/1460

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 562/394, 6766/1460?

Answer: LCM of Numerators as per given numbers 562/394, 6766/1460 is

LCM of Numerators i.e. for 562,6766 is 1901246

GCF of denominators i.e. for 394,1460 is 2.

Thus, LCM of Fractions is 950623.Finally, LCM of Fractions for 562/394, 6766/1460 is 950623.