Least Common Multiple of 1298/224, 9754/4654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1298/224, 9754/4654 quickly i.e. 3165173 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1298/224, 9754/4654 is 3165173.

LCM(1298/224, 9754/4654) = 3165173

LCM of 1298/224, 9754/4654

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 1298/224,9754/4654

Given numbers are 1298/224,9754/4654

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 1298,9754

Least Common Multiple of Numerators i.e. LCM of 1298,9754 is 6330346.

GCF of Denominators means GCF of 224,4654 as per the given fractions.

GCF of 224,4654 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1298,9754

LCM of Fractions 1298/224,9754/4654 is 3165173

2 1298, 9754
649, 4877

∴ So the LCM of the given numbers is 2 x 649 x 4877 = 6330346

Least Common Multiple of 1298,9754 with GCF Formula

Least Common Multiple of 1298,9754 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 1298,9754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1298,9754) = 2

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

GCF(1298,9754) x common factors =2 x 1 = 2

LCM(1298,9754) = ( 1298 × 9754 ) / 2

LCM(1298,9754) = 12660692 / 2

LCM(1298,9754) = 6330346


Lets's calculate GCF of 224,4654

2 224, 4654
112, 2327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6330346/2

Therefore the LCM of Fractions 1298/224,9754/4654 is 3165173

Greatest Common Factor of 224,4654 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,4654 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1,2,13,26,179,358,2327,4654

Greatest Common Factor

We found the factors 224,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 224,4654 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 1298/224, 9754/4654

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 1298/224, 9754/4654?

Answer: LCM of Numerators as per given numbers 1298/224, 9754/4654 is

LCM of Numerators i.e. for 1298,9754 is 6330346

GCF of denominators i.e. for 224,4654 is 2.

Thus, LCM of Fractions is 3165173.Finally, LCM of Fractions for 1298/224, 9754/4654 is 3165173.