Least Common Multiple of 48/997, 9518/1157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/997, 9518/1157 quickly i.e. 228432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/997, 9518/1157 is 228432.

LCM(48/997, 9518/1157) = 228432

LCM of 48/997, 9518/1157

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 48/997,9518/1157

Given numbers are 48/997,9518/1157

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 48,9518

Least Common Multiple of Numerators i.e. LCM of 48,9518 is 228432.

GCF of Denominators means GCF of 997,1157 as per the given fractions.

GCF of 997,1157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,9518

LCM of Fractions 48/997,9518/1157 is 228432

2 48, 9518
24, 4759

∴ So the LCM of the given numbers is 2 x 24 x 4759 = 228432

Least Common Multiple of 48,9518 with GCF Formula

Least Common Multiple of 48,9518 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 48,9518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,9518) = 2

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

GCF(48,9518) x common factors =2 x 1 = 2

LCM(48,9518) = ( 48 × 9518 ) / 2

LCM(48,9518) = 456864 / 2

LCM(48,9518) = 228432


Lets's calculate GCF of 997,1157

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228432/1

Therefore the LCM of Fractions 48/997,9518/1157 is 228432

Greatest Common Factor of 997,1157 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,1157 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 1157

List of positive integer factors of 1157 that divides 1157 without a remainder.

1,13,89,1157

Greatest Common Factor

We found the factors 997,1157 . The biggest common factor number is the GCF number.
So the greatest common factor 997,1157 is 1.


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 48/997, 9518/1157

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 48/997, 9518/1157?

Answer: LCM of Numerators as per given numbers 48/997, 9518/1157 is

LCM of Numerators i.e. for 48,9518 is 228432

GCF of denominators i.e. for 997,1157 is 1.

Thus, LCM of Fractions is 228432.Finally, LCM of Fractions for 48/997, 9518/1157 is 228432.