Least Common Multiple of 76/837, 402/489, 335/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/837, 402/489, 335/233 quickly i.e. 76380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/837, 402/489, 335/233 is 76380.

LCM(76/837, 402/489, 335/233) = 76380

LCM of 76/837, 402/489, 335/233

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 76/837,402/489,335/233

Given numbers are 76/837,402/489,335/233

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 76,402,335

Least Common Multiple of Numerators i.e. LCM of 76,402,335 is 76380.

GCF of Denominators means GCF of 837,489,233 as per the given fractions.

GCF of 837,489,233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,402,335

LCM of Fractions 76/837,402/489,335/233 is 76380

2 76, 402, 335
67 38, 201, 335
38, 3, 5

∴ So the LCM of the given numbers is 2 x 67 x 38 x 3 x 5 = 76380

Least Common Multiple of 76,402,335 with GCF Formula

Least Common Multiple of 76,402,335 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 76,402,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,402,335) = 1

common factors(in case of two or more numbers have common factors) = 134

GCF(76,402,335) x common factors =1 x 134 = 134

LCM(76,402,335) = ( 76 × 402 × 335 ) / 134

LCM(76,402,335) = 10234920 / 134

LCM(76,402,335) = 76380


Lets's calculate GCF of 837,489,233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76380/1

Therefore the LCM of Fractions 76/837,402/489,335/233 is 76380

Greatest Common Factor of 837,489,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 837,489,233 By Matching Biggest Common Factor Method

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Greatest Common Factor

We found the factors 837,489,233 . The biggest common factor number is the GCF number.
So the greatest common factor 837,489,233 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 76/837, 402/489, 335/233

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 76/837, 402/489, 335/233?

Answer: LCM of Numerators as per given numbers 76/837, 402/489, 335/233 is

LCM of Numerators i.e. for 76,402,335 is 76380

GCF of denominators i.e. for 837,489,233 is 1.

Thus, LCM of Fractions is 76380.Finally, LCM of Fractions for 76/837, 402/489, 335/233 is 76380.