Least Common Multiple of 514/263, 807/324, 602/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/263, 807/324, 602/390 quickly i.e. 124854198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/263, 807/324, 602/390 is 124854198.

LCM(514/263, 807/324, 602/390) = 124854198

LCM of 514/263, 807/324, 602/390

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 514/263,807/324,602/390

Given numbers are 514/263,807/324,602/390

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 514,807,602

Least Common Multiple of Numerators i.e. LCM of 514,807,602 is 124854198.

GCF of Denominators means GCF of 263,324,390 as per the given fractions.

GCF of 263,324,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,807,602

LCM of Fractions 514/263,807/324,602/390 is 124854198

2 514, 807, 602
257, 807, 301

∴ So the LCM of the given numbers is 2 x 257 x 807 x 301 = 124854198

Least Common Multiple of 514,807,602 with GCF Formula

Least Common Multiple of 514,807,602 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 514,807,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,807,602) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(514,807,602) x common factors =1 x 2 = 2

LCM(514,807,602) = ( 514 × 807 × 602 ) / 2

LCM(514,807,602) = 249708396 / 2

LCM(514,807,602) = 124854198


Lets's calculate GCF of 263,324,390

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124854198/1

Therefore the LCM of Fractions 514/263,807/324,602/390 is 124854198

Greatest Common Factor of 263,324,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,324,390 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 263,324,390 . The biggest common factor number is the GCF number.
So the greatest common factor 263,324,390 is 1.


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 514/263, 807/324, 602/390

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 514/263, 807/324, 602/390?

Answer: LCM of Numerators as per given numbers 514/263, 807/324, 602/390 is

LCM of Numerators i.e. for 514,807,602 is 124854198

GCF of denominators i.e. for 263,324,390 is 1.

Thus, LCM of Fractions is 124854198.Finally, LCM of Fractions for 514/263, 807/324, 602/390 is 124854198.