Least Common Multiple of 258/354, 1264/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/354, 1264/603 quickly i.e. 54352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/354, 1264/603 is 54352.

LCM(258/354, 1264/603) = 54352

LCM of 258/354, 1264/603

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 258/354,1264/603

Given numbers are 258/354,1264/603

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 258,1264

Least Common Multiple of Numerators i.e. LCM of 258,1264 is 163056.

GCF of Denominators means GCF of 354,603 as per the given fractions.

GCF of 354,603 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,1264

LCM of Fractions 258/354,1264/603 is 54352

2 258, 1264
129, 632

∴ So the LCM of the given numbers is 2 x 129 x 632 = 163056

Least Common Multiple of 258,1264 with GCF Formula

Least Common Multiple of 258,1264 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 258,1264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,1264) = 2

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

GCF(258,1264) x common factors =2 x 1 = 2

LCM(258,1264) = ( 258 × 1264 ) / 2

LCM(258,1264) = 326112 / 2

LCM(258,1264) = 163056


Lets's calculate GCF of 354,603

3 354, 603
118, 201

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163056/3

Therefore the LCM of Fractions 258/354,1264/603 is 54352

Greatest Common Factor of 354,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,603 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 354,603 . The biggest common factor number is the GCF number.
So the greatest common factor 354,603 is 3.


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 258/354, 1264/603

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 258/354, 1264/603?

Answer: LCM of Numerators as per given numbers 258/354, 1264/603 is

LCM of Numerators i.e. for 258,1264 is 163056

GCF of denominators i.e. for 354,603 is 3.

Thus, LCM of Fractions is 54352.Finally, LCM of Fractions for 258/354, 1264/603 is 54352.