Least Common Multiple of 298/42, 569/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 298/42, 569/126 quickly i.e. 169562/42 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/42, 569/126 is 169562/42.

LCM(298/42, 569/126) = 169562/42

LCM of 298/42, 569/126

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 298/42,569/126

Given numbers are 298/42,569/126

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 298,569

Least Common Multiple of Numerators i.e. LCM of 298,569 is 169562.

GCF of Denominators means GCF of 42,126 as per the given fractions.

GCF of 42,126 is 42 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,569

LCM of Fractions 298/42,569/126 is 169562/42

Given numbers has no common factors except 1. So, there LCM is their product i.e 169562

Least Common Multiple of 298,569 with GCF Formula

Least Common Multiple of 298,569 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 298,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,569) = 1

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

GCF(298,569) x common factors =1 x 1 = 1

LCM(298,569) = ( 298 × 569 ) / 1

LCM(298,569) = 169562 / 1

LCM(298,569) = 169562


Lets's calculate GCF of 42,126

2 42, 126
3 21, 63
7 7, 21
1, 3

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169562/42

Therefore the LCM of Fractions 298/42,569/126 is 169562/42

Greatest Common Factor of 42,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,126 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 42,126 . The biggest common factor number is the GCF number.
So the greatest common factor 42,126 is 42.


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 298/42, 569/126

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 298/42, 569/126?

Answer: LCM of Numerators as per given numbers 298/42, 569/126 is

LCM of Numerators i.e. for 298,569 is 169562

GCF of denominators i.e. for 42,126 is 42.

Thus, LCM of Fractions is 169562/42.Finally, LCM of Fractions for 298/42, 569/126 is 169562/42.