Least Common Multiple of 1603/343, 6919/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1603/343, 6919/973 quickly i.e. 1584451 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1603/343, 6919/973 is 1584451.

LCM(1603/343, 6919/973) = 1584451

LCM of 1603/343, 6919/973

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 1603/343,6919/973

Given numbers are 1603/343,6919/973

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 1603,6919

Least Common Multiple of Numerators i.e. LCM of 1603,6919 is 11091157.

GCF of Denominators means GCF of 343,973 as per the given fractions.

GCF of 343,973 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1603,6919

LCM of Fractions 1603/343,6919/973 is 1584451

Given numbers has no common factors except 1. So, there LCM is their product i.e 11091157

Least Common Multiple of 1603,6919 with GCF Formula

Least Common Multiple of 1603,6919 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 1603,6919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1603,6919) = 1

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

GCF(1603,6919) x common factors =1 x 1 = 1

LCM(1603,6919) = ( 1603 × 6919 ) / 1

LCM(1603,6919) = 11091157 / 1

LCM(1603,6919) = 11091157


Lets's calculate GCF of 343,973

7 343, 973
49, 139

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11091157/7

Therefore the LCM of Fractions 1603/343,6919/973 is 1584451

Greatest Common Factor of 343,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,973 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 343,973 . The biggest common factor number is the GCF number.
So the greatest common factor 343,973 is 7.


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 1603/343, 6919/973

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 1603/343, 6919/973?

Answer: LCM of Numerators as per given numbers 1603/343, 6919/973 is

LCM of Numerators i.e. for 1603,6919 is 11091157

GCF of denominators i.e. for 343,973 is 7.

Thus, LCM of Fractions is 1584451.Finally, LCM of Fractions for 1603/343, 6919/973 is 1584451.