Least Common Multiple of 48/713, 4410/1147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/713, 4410/1147 quickly i.e. 35280/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/713, 4410/1147 is 35280/31.

LCM(48/713, 4410/1147) = 35280/31

LCM of 48/713, 4410/1147

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 48/713,4410/1147

Given numbers are 48/713,4410/1147

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 48,4410

Least Common Multiple of Numerators i.e. LCM of 48,4410 is 35280.

GCF of Denominators means GCF of 713,1147 as per the given fractions.

GCF of 713,1147 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,4410

LCM of Fractions 48/713,4410/1147 is 35280/31

2 48, 4410
3 24, 2205
8, 735

∴ So the LCM of the given numbers is 2 x 3 x 8 x 735 = 35280

Least Common Multiple of 48,4410 with GCF Formula

Least Common Multiple of 48,4410 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 48,4410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,4410) = 6

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

GCF(48,4410) x common factors =6 x 1 = 6

LCM(48,4410) = ( 48 × 4410 ) / 6

LCM(48,4410) = 211680 / 6

LCM(48,4410) = 35280


Lets's calculate GCF of 713,1147

31 713, 1147
23, 37

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35280/31

Therefore the LCM of Fractions 48/713,4410/1147 is 35280/31

Greatest Common Factor of 713,1147 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,1147 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 1147

List of positive integer factors of 1147 that divides 1147 without a remainder.

1,31,37,1147

Greatest Common Factor

We found the factors 713,1147 . The biggest common factor number is the GCF number.
So the greatest common factor 713,1147 is 31.


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 48/713, 4410/1147

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 48/713, 4410/1147?

Answer: LCM of Numerators as per given numbers 48/713, 4410/1147 is

LCM of Numerators i.e. for 48,4410 is 35280

GCF of denominators i.e. for 713,1147 is 31.

Thus, LCM of Fractions is 35280/31.Finally, LCM of Fractions for 48/713, 4410/1147 is 35280/31.