Least Common Multiple of 13/235, 240/804, 678/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/235, 240/804, 678/830 quickly i.e. 352560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/235, 240/804, 678/830 is 352560.

LCM(13/235, 240/804, 678/830) = 352560

LCM of 13/235, 240/804, 678/830

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 13/235,240/804,678/830

Given numbers are 13/235,240/804,678/830

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 13,240,678

Least Common Multiple of Numerators i.e. LCM of 13,240,678 is 352560.

GCF of Denominators means GCF of 235,804,830 as per the given fractions.

GCF of 235,804,830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,240,678

LCM of Fractions 13/235,240/804,678/830 is 352560

2 13, 240, 678
3 13, 120, 339
13, 40, 113

∴ So the LCM of the given numbers is 2 x 3 x 13 x 40 x 113 = 352560

Least Common Multiple of 13,240,678 with GCF Formula

Least Common Multiple of 13,240,678 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 13,240,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,240,678) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(13,240,678) x common factors =1 x 6 = 6

LCM(13,240,678) = ( 13 × 240 × 678 ) / 6

LCM(13,240,678) = 2115360 / 6

LCM(13,240,678) = 352560


Lets's calculate GCF of 235,804,830

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352560/1

Therefore the LCM of Fractions 13/235,240/804,678/830 is 352560

Greatest Common Factor of 235,804,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,804,830 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

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 235,804,830 . The biggest common factor number is the GCF number.
So the greatest common factor 235,804,830 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 13/235, 240/804, 678/830

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 13/235, 240/804, 678/830?

Answer: LCM of Numerators as per given numbers 13/235, 240/804, 678/830 is

LCM of Numerators i.e. for 13,240,678 is 352560

GCF of denominators i.e. for 235,804,830 is 1.

Thus, LCM of Fractions is 352560.Finally, LCM of Fractions for 13/235, 240/804, 678/830 is 352560.