Least Common Multiple of 1460/920, 8788/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1460/920, 8788/523 quickly i.e. 3207620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1460/920, 8788/523 is 3207620.

LCM(1460/920, 8788/523) = 3207620

LCM of 1460/920, 8788/523

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 1460/920,8788/523

Given numbers are 1460/920,8788/523

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 1460,8788

Least Common Multiple of Numerators i.e. LCM of 1460,8788 is 3207620.

GCF of Denominators means GCF of 920,523 as per the given fractions.

GCF of 920,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1460,8788

LCM of Fractions 1460/920,8788/523 is 3207620

2 1460, 8788
2 730, 4394
365, 2197

∴ So the LCM of the given numbers is 2 x 2 x 365 x 2197 = 3207620

Least Common Multiple of 1460,8788 with GCF Formula

Least Common Multiple of 1460,8788 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 1460,8788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1460,8788) = 4

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

GCF(1460,8788) x common factors =4 x 1 = 4

LCM(1460,8788) = ( 1460 × 8788 ) / 4

LCM(1460,8788) = 12830480 / 4

LCM(1460,8788) = 3207620


Lets's calculate GCF of 920,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3207620/1

Therefore the LCM of Fractions 1460/920,8788/523 is 3207620

Greatest Common Factor of 920,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,523 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 920,523 . The biggest common factor number is the GCF number.
So the greatest common factor 920,523 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 1460/920, 8788/523

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 1460/920, 8788/523?

Answer: LCM of Numerators as per given numbers 1460/920, 8788/523 is

LCM of Numerators i.e. for 1460,8788 is 3207620

GCF of denominators i.e. for 920,523 is 1.

Thus, LCM of Fractions is 3207620.Finally, LCM of Fractions for 1460/920, 8788/523 is 3207620.