Least Common Multiple of 1183/486, 1664/7894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1183/486, 1664/7894 quickly i.e. 75712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1183/486, 1664/7894 is 75712.

LCM(1183/486, 1664/7894) = 75712

LCM of 1183/486, 1664/7894

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 1183/486,1664/7894

Given numbers are 1183/486,1664/7894

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 1183,1664

Least Common Multiple of Numerators i.e. LCM of 1183,1664 is 151424.

GCF of Denominators means GCF of 486,7894 as per the given fractions.

GCF of 486,7894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1183,1664

LCM of Fractions 1183/486,1664/7894 is 75712

13 1183, 1664
91, 128

∴ So the LCM of the given numbers is 13 x 91 x 128 = 151424

Least Common Multiple of 1183,1664 with GCF Formula

Least Common Multiple of 1183,1664 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 1183,1664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1183,1664) = 13

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

GCF(1183,1664) x common factors =13 x 1 = 13

LCM(1183,1664) = ( 1183 × 1664 ) / 13

LCM(1183,1664) = 1968512 / 13

LCM(1183,1664) = 151424


Lets's calculate GCF of 486,7894

2 486, 7894
243, 3947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151424/2

Therefore the LCM of Fractions 1183/486,1664/7894 is 75712

Greatest Common Factor of 486,7894 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,7894 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 7894

List of positive integer factors of 7894 that divides 7894 without a remainder.

1,2,3947,7894

Greatest Common Factor

We found the factors 486,7894 . The biggest common factor number is the GCF number.
So the greatest common factor 486,7894 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 1183/486, 1664/7894

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 1183/486, 1664/7894?

Answer: LCM of Numerators as per given numbers 1183/486, 1664/7894 is

LCM of Numerators i.e. for 1183,1664 is 151424

GCF of denominators i.e. for 486,7894 is 2.

Thus, LCM of Fractions is 75712.Finally, LCM of Fractions for 1183/486, 1664/7894 is 75712.