Least Common Multiple of 7749/488, 6473/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7749/488, 6473/830 quickly i.e. 50159277/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7749/488, 6473/830 is 50159277/2.

LCM(7749/488, 6473/830) = 50159277/2

LCM of 7749/488, 6473/830

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 7749/488,6473/830

Given numbers are 7749/488,6473/830

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 7749,6473

Least Common Multiple of Numerators i.e. LCM of 7749,6473 is 50159277.

GCF of Denominators means GCF of 488,830 as per the given fractions.

GCF of 488,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7749,6473

LCM of Fractions 7749/488,6473/830 is 50159277/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 50159277

Least Common Multiple of 7749,6473 with GCF Formula

Least Common Multiple of 7749,6473 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 7749,6473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7749,6473) = 1

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

GCF(7749,6473) x common factors =1 x 1 = 1

LCM(7749,6473) = ( 7749 × 6473 ) / 1

LCM(7749,6473) = 50159277 / 1

LCM(7749,6473) = 50159277


Lets's calculate GCF of 488,830

2 488, 830
244, 415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50159277/2

Therefore the LCM of Fractions 7749/488,6473/830 is 50159277/2

Greatest Common Factor of 488,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,830 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 488,830 . The biggest common factor number is the GCF number.
So the greatest common factor 488,830 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 7749/488, 6473/830

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 7749/488, 6473/830?

Answer: LCM of Numerators as per given numbers 7749/488, 6473/830 is

LCM of Numerators i.e. for 7749,6473 is 50159277

GCF of denominators i.e. for 488,830 is 2.

Thus, LCM of Fractions is 50159277/2.Finally, LCM of Fractions for 7749/488, 6473/830 is 50159277/2.