Least Common Multiple of 1577/553, 1314/4361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1577/553, 1314/4361 quickly i.e. 2072178/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1577/553, 1314/4361 is 2072178/7.

LCM(1577/553, 1314/4361) = 2072178/7

LCM of 1577/553, 1314/4361

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 1577/553,1314/4361

Given numbers are 1577/553,1314/4361

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 1577,1314

Least Common Multiple of Numerators i.e. LCM of 1577,1314 is 2072178.

GCF of Denominators means GCF of 553,4361 as per the given fractions.

GCF of 553,4361 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1577,1314

LCM of Fractions 1577/553,1314/4361 is 2072178/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 2072178

Least Common Multiple of 1577,1314 with GCF Formula

Least Common Multiple of 1577,1314 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 1577,1314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1577,1314) = 1

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

GCF(1577,1314) x common factors =1 x 1 = 1

LCM(1577,1314) = ( 1577 × 1314 ) / 1

LCM(1577,1314) = 2072178 / 1

LCM(1577,1314) = 2072178


Lets's calculate GCF of 553,4361

7 553, 4361
79, 623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2072178/7

Therefore the LCM of Fractions 1577/553,1314/4361 is 2072178/7

Greatest Common Factor of 553,4361 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,4361 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 4361

List of positive integer factors of 4361 that divides 4361 without a remainder.

1,7,49,89,623,4361

Greatest Common Factor

We found the factors 553,4361 . The biggest common factor number is the GCF number.
So the greatest common factor 553,4361 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 1577/553, 1314/4361

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 1577/553, 1314/4361?

Answer: LCM of Numerators as per given numbers 1577/553, 1314/4361 is

LCM of Numerators i.e. for 1577,1314 is 2072178

GCF of denominators i.e. for 553,4361 is 7.

Thus, LCM of Fractions is 2072178/7.Finally, LCM of Fractions for 1577/553, 1314/4361 is 2072178/7.