Least Common Multiple of 289/980, 475/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/980, 475/432 quickly i.e. 137275/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/980, 475/432 is 137275/4.

LCM(289/980, 475/432) = 137275/4

LCM of 289/980, 475/432

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 289/980,475/432

Given numbers are 289/980,475/432

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 289,475

Least Common Multiple of Numerators i.e. LCM of 289,475 is 137275.

GCF of Denominators means GCF of 980,432 as per the given fractions.

GCF of 980,432 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,475

LCM of Fractions 289/980,475/432 is 137275/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 137275

Least Common Multiple of 289,475 with GCF Formula

Least Common Multiple of 289,475 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 289,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,475) = 1

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

GCF(289,475) x common factors =1 x 1 = 1

LCM(289,475) = ( 289 × 475 ) / 1

LCM(289,475) = 137275 / 1

LCM(289,475) = 137275


Lets's calculate GCF of 980,432

2 980, 432
2 490, 216
245, 108

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137275/4

Therefore the LCM of Fractions 289/980,475/432 is 137275/4

Greatest Common Factor of 980,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,432 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 980,432 . The biggest common factor number is the GCF number.
So the greatest common factor 980,432 is 4.


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 289/980, 475/432

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 289/980, 475/432?

Answer: LCM of Numerators as per given numbers 289/980, 475/432 is

LCM of Numerators i.e. for 289,475 is 137275

GCF of denominators i.e. for 980,432 is 4.

Thus, LCM of Fractions is 137275/4.Finally, LCM of Fractions for 289/980, 475/432 is 137275/4.