Least Common Multiple of 1482/378, 1786/9800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1482/378, 1786/9800 quickly i.e. 69654/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1482/378, 1786/9800 is 69654/14.

LCM(1482/378, 1786/9800) = 69654/14

LCM of 1482/378, 1786/9800

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 1482/378,1786/9800

Given numbers are 1482/378,1786/9800

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 1482,1786

Least Common Multiple of Numerators i.e. LCM of 1482,1786 is 69654.

GCF of Denominators means GCF of 378,9800 as per the given fractions.

GCF of 378,9800 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1482,1786

LCM of Fractions 1482/378,1786/9800 is 69654/14

2 1482, 1786
19 741, 893
39, 47

∴ So the LCM of the given numbers is 2 x 19 x 39 x 47 = 69654

Least Common Multiple of 1482,1786 with GCF Formula

Least Common Multiple of 1482,1786 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 1482,1786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1482,1786) = 38

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

GCF(1482,1786) x common factors =38 x 1 = 38

LCM(1482,1786) = ( 1482 × 1786 ) / 38

LCM(1482,1786) = 2646852 / 38

LCM(1482,1786) = 69654


Lets's calculate GCF of 378,9800

2 378, 9800
7 189, 4900
27, 700

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69654/14

Therefore the LCM of Fractions 1482/378,1786/9800 is 69654/14

Greatest Common Factor of 378,9800 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,9800 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 9800

List of positive integer factors of 9800 that divides 9800 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,49,50,56,70,98,100,140,175,196,200,245,280,350,392,490,700,980,1225,1400,1960,2450,4900,9800

Greatest Common Factor

We found the factors 378,9800 . The biggest common factor number is the GCF number.
So the greatest common factor 378,9800 is 14.


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 1482/378, 1786/9800

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 1482/378, 1786/9800?

Answer: LCM of Numerators as per given numbers 1482/378, 1786/9800 is

LCM of Numerators i.e. for 1482,1786 is 69654

GCF of denominators i.e. for 378,9800 is 14.

Thus, LCM of Fractions is 69654/14.Finally, LCM of Fractions for 1482/378, 1786/9800 is 69654/14.