Least Common Multiple of 559/938, 5142/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 559/938, 5142/280 quickly i.e. 2874378/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 559/938, 5142/280 is 2874378/14.

LCM(559/938, 5142/280) = 2874378/14

LCM of 559/938, 5142/280

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 559/938,5142/280

Given numbers are 559/938,5142/280

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 559,5142

Least Common Multiple of Numerators i.e. LCM of 559,5142 is 2874378.

GCF of Denominators means GCF of 938,280 as per the given fractions.

GCF of 938,280 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 559,5142

LCM of Fractions 559/938,5142/280 is 2874378/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 2874378

Least Common Multiple of 559,5142 with GCF Formula

Least Common Multiple of 559,5142 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 559,5142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,5142) = 1

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

GCF(559,5142) x common factors =1 x 1 = 1

LCM(559,5142) = ( 559 × 5142 ) / 1

LCM(559,5142) = 2874378 / 1

LCM(559,5142) = 2874378


Lets's calculate GCF of 938,280

2 938, 280
7 469, 140
67, 20

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2874378/14

Therefore the LCM of Fractions 559/938,5142/280 is 2874378/14

Greatest Common Factor of 938,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,280 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 938,280 . The biggest common factor number is the GCF number.
So the greatest common factor 938,280 is 14.


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 559/938, 5142/280

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 559/938, 5142/280?

Answer: LCM of Numerators as per given numbers 559/938, 5142/280 is

LCM of Numerators i.e. for 559,5142 is 2874378

GCF of denominators i.e. for 938,280 is 14.

Thus, LCM of Fractions is 2874378/14.Finally, LCM of Fractions for 559/938, 5142/280 is 2874378/14.