Least Common Multiple of 7121/782, 1043/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7121/782, 1043/368 quickly i.e. 7427203/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7121/782, 1043/368 is 7427203/46.

LCM(7121/782, 1043/368) = 7427203/46

LCM of 7121/782, 1043/368

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 7121/782,1043/368

Given numbers are 7121/782,1043/368

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 7121,1043

Least Common Multiple of Numerators i.e. LCM of 7121,1043 is 7427203.

GCF of Denominators means GCF of 782,368 as per the given fractions.

GCF of 782,368 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7121,1043

LCM of Fractions 7121/782,1043/368 is 7427203/46

Given numbers has no common factors except 1. So, there LCM is their product i.e 7427203

Least Common Multiple of 7121,1043 with GCF Formula

Least Common Multiple of 7121,1043 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 7121,1043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7121,1043) = 1

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

GCF(7121,1043) x common factors =1 x 1 = 1

LCM(7121,1043) = ( 7121 × 1043 ) / 1

LCM(7121,1043) = 7427203 / 1

LCM(7121,1043) = 7427203


Lets's calculate GCF of 782,368

2 782, 368
23 391, 184
17, 8

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7427203/46

Therefore the LCM of Fractions 7121/782,1043/368 is 7427203/46

Greatest Common Factor of 782,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,368 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 782,368 . The biggest common factor number is the GCF number.
So the greatest common factor 782,368 is 46.


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 7121/782, 1043/368

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 7121/782, 1043/368?

Answer: LCM of Numerators as per given numbers 7121/782, 1043/368 is

LCM of Numerators i.e. for 7121,1043 is 7427203

GCF of denominators i.e. for 782,368 is 46.

Thus, LCM of Fractions is 7427203/46.Finally, LCM of Fractions for 7121/782, 1043/368 is 7427203/46.