Least Common Multiple of 3878/898, 6803/7132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3878/898, 6803/7132 quickly i.e. 13191017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3878/898, 6803/7132 is 13191017.

LCM(3878/898, 6803/7132) = 13191017

LCM of 3878/898, 6803/7132

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 3878/898,6803/7132

Given numbers are 3878/898,6803/7132

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 3878,6803

Least Common Multiple of Numerators i.e. LCM of 3878,6803 is 26382034.

GCF of Denominators means GCF of 898,7132 as per the given fractions.

GCF of 898,7132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3878,6803

LCM of Fractions 3878/898,6803/7132 is 13191017

Given numbers has no common factors except 1. So, there LCM is their product i.e 26382034

Least Common Multiple of 3878,6803 with GCF Formula

Least Common Multiple of 3878,6803 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 3878,6803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3878,6803) = 1

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

GCF(3878,6803) x common factors =1 x 1 = 1

LCM(3878,6803) = ( 3878 × 6803 ) / 1

LCM(3878,6803) = 26382034 / 1

LCM(3878,6803) = 26382034


Lets's calculate GCF of 898,7132

2 898, 7132
449, 3566

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26382034/2

Therefore the LCM of Fractions 3878/898,6803/7132 is 13191017

Greatest Common Factor of 898,7132 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,7132 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 7132

List of positive integer factors of 7132 that divides 7132 without a remainder.

1,2,4,1783,3566,7132

Greatest Common Factor

We found the factors 898,7132 . The biggest common factor number is the GCF number.
So the greatest common factor 898,7132 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 3878/898, 6803/7132

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 3878/898, 6803/7132?

Answer: LCM of Numerators as per given numbers 3878/898, 6803/7132 is

LCM of Numerators i.e. for 3878,6803 is 26382034

GCF of denominators i.e. for 898,7132 is 2.

Thus, LCM of Fractions is 13191017.Finally, LCM of Fractions for 3878/898, 6803/7132 is 13191017.