Least Common Multiple of 998/32, 748/1270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/32, 748/1270 quickly i.e. 186626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/32, 748/1270 is 186626.

LCM(998/32, 748/1270) = 186626

LCM of 998/32, 748/1270

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 998/32,748/1270

Given numbers are 998/32,748/1270

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 998,748

Least Common Multiple of Numerators i.e. LCM of 998,748 is 373252.

GCF of Denominators means GCF of 32,1270 as per the given fractions.

GCF of 32,1270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,748

LCM of Fractions 998/32,748/1270 is 186626

2 998, 748
499, 374

∴ So the LCM of the given numbers is 2 x 499 x 374 = 373252

Least Common Multiple of 998,748 with GCF Formula

Least Common Multiple of 998,748 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 998,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,748) = 2

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

GCF(998,748) x common factors =2 x 1 = 2

LCM(998,748) = ( 998 × 748 ) / 2

LCM(998,748) = 746504 / 2

LCM(998,748) = 373252


Lets's calculate GCF of 32,1270

2 32, 1270
16, 635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373252/2

Therefore the LCM of Fractions 998/32,748/1270 is 186626

Greatest Common Factor of 32,1270 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,1270 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 1270

List of positive integer factors of 1270 that divides 1270 without a remainder.

1,2,5,10,127,254,635,1270

Greatest Common Factor

We found the factors 32,1270 . The biggest common factor number is the GCF number.
So the greatest common factor 32,1270 is 2.


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 998/32, 748/1270

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 998/32, 748/1270?

Answer: LCM of Numerators as per given numbers 998/32, 748/1270 is

LCM of Numerators i.e. for 998,748 is 373252

GCF of denominators i.e. for 32,1270 is 2.

Thus, LCM of Fractions is 186626.Finally, LCM of Fractions for 998/32, 748/1270 is 186626.