Least Common Multiple of 6351/830, 2464/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6351/830, 2464/112 quickly i.e. 7824432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6351/830, 2464/112 is 7824432.

LCM(6351/830, 2464/112) = 7824432

LCM of 6351/830, 2464/112

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 6351/830,2464/112

Given numbers are 6351/830,2464/112

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 6351,2464

Least Common Multiple of Numerators i.e. LCM of 6351,2464 is 15648864.

GCF of Denominators means GCF of 830,112 as per the given fractions.

GCF of 830,112 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6351,2464

LCM of Fractions 6351/830,2464/112 is 7824432

Given numbers has no common factors except 1. So, there LCM is their product i.e 15648864

Least Common Multiple of 6351,2464 with GCF Formula

Least Common Multiple of 6351,2464 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 6351,2464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6351,2464) = 1

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

GCF(6351,2464) x common factors =1 x 1 = 1

LCM(6351,2464) = ( 6351 × 2464 ) / 1

LCM(6351,2464) = 15648864 / 1

LCM(6351,2464) = 15648864


Lets's calculate GCF of 830,112

2 830, 112
415, 56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15648864/2

Therefore the LCM of Fractions 6351/830,2464/112 is 7824432

Greatest Common Factor of 830,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,112 By Matching Biggest Common Factor Method

Factors of 830

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

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

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 830,112 . The biggest common factor number is the GCF number.
So the greatest common factor 830,112 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6351/830, 2464/112

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 6351/830, 2464/112?

Answer: LCM of Numerators as per given numbers 6351/830, 2464/112 is

LCM of Numerators i.e. for 6351,2464 is 15648864

GCF of denominators i.e. for 830,112 is 2.

Thus, LCM of Fractions is 7824432.Finally, LCM of Fractions for 6351/830, 2464/112 is 7824432.