Least Common Multiple of 4202/261, 4982/551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4202/261, 4982/551 quickly i.e. 10467182/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4202/261, 4982/551 is 10467182/29.

LCM(4202/261, 4982/551) = 10467182/29

LCM of 4202/261, 4982/551

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 4202/261,4982/551

Given numbers are 4202/261,4982/551

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 4202,4982

Least Common Multiple of Numerators i.e. LCM of 4202,4982 is 10467182.

GCF of Denominators means GCF of 261,551 as per the given fractions.

GCF of 261,551 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4202,4982

LCM of Fractions 4202/261,4982/551 is 10467182/29

2 4202, 4982
2101, 2491

∴ So the LCM of the given numbers is 2 x 2101 x 2491 = 10467182

Least Common Multiple of 4202,4982 with GCF Formula

Least Common Multiple of 4202,4982 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 4202,4982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4202,4982) = 2

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

GCF(4202,4982) x common factors =2 x 1 = 2

LCM(4202,4982) = ( 4202 × 4982 ) / 2

LCM(4202,4982) = 20934364 / 2

LCM(4202,4982) = 10467182


Lets's calculate GCF of 261,551

29 261, 551
9, 19

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10467182/29

Therefore the LCM of Fractions 4202/261,4982/551 is 10467182/29

Greatest Common Factor of 261,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,551 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors 261,551 . The biggest common factor number is the GCF number.
So the greatest common factor 261,551 is 29.


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 4202/261, 4982/551

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 4202/261, 4982/551?

Answer: LCM of Numerators as per given numbers 4202/261, 4982/551 is

LCM of Numerators i.e. for 4202,4982 is 10467182

GCF of denominators i.e. for 261,551 is 29.

Thus, LCM of Fractions is 10467182/29.Finally, LCM of Fractions for 4202/261, 4982/551 is 10467182/29.