Least Common Multiple of 6874/925, 3318/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6874/925, 3318/743 quickly i.e. 1629138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6874/925, 3318/743 is 1629138.

LCM(6874/925, 3318/743) = 1629138

LCM of 6874/925, 3318/743

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 6874/925,3318/743

Given numbers are 6874/925,3318/743

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 6874,3318

Least Common Multiple of Numerators i.e. LCM of 6874,3318 is 1629138.

GCF of Denominators means GCF of 925,743 as per the given fractions.

GCF of 925,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6874,3318

LCM of Fractions 6874/925,3318/743 is 1629138

2 6874, 3318
7 3437, 1659
491, 237

∴ So the LCM of the given numbers is 2 x 7 x 491 x 237 = 1629138

Least Common Multiple of 6874,3318 with GCF Formula

Least Common Multiple of 6874,3318 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 6874,3318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6874,3318) = 14

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

GCF(6874,3318) x common factors =14 x 1 = 14

LCM(6874,3318) = ( 6874 × 3318 ) / 14

LCM(6874,3318) = 22807932 / 14

LCM(6874,3318) = 1629138


Lets's calculate GCF of 925,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1629138/1

Therefore the LCM of Fractions 6874/925,3318/743 is 1629138

Greatest Common Factor of 925,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,743 By Matching Biggest Common Factor Method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 925,743 . The biggest common factor number is the GCF number.
So the greatest common factor 925,743 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 6874/925, 3318/743

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 6874/925, 3318/743?

Answer: LCM of Numerators as per given numbers 6874/925, 3318/743 is

LCM of Numerators i.e. for 6874,3318 is 1629138

GCF of denominators i.e. for 925,743 is 1.

Thus, LCM of Fractions is 1629138.Finally, LCM of Fractions for 6874/925, 3318/743 is 1629138.