Least Common Multiple of 92/504, 160/365, 373/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/504, 160/365, 373/416 quickly i.e. 1372640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/504, 160/365, 373/416 is 1372640.

LCM(92/504, 160/365, 373/416) = 1372640

LCM of 92/504, 160/365, 373/416

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 92/504,160/365,373/416

Given numbers are 92/504,160/365,373/416

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 92,160,373

Least Common Multiple of Numerators i.e. LCM of 92,160,373 is 1372640.

GCF of Denominators means GCF of 504,365,416 as per the given fractions.

GCF of 504,365,416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,160,373

LCM of Fractions 92/504,160/365,373/416 is 1372640

2 92, 160, 373
2 46, 80, 373
23, 40, 373

∴ So the LCM of the given numbers is 2 x 2 x 23 x 40 x 373 = 1372640

Least Common Multiple of 92,160,373 with GCF Formula

Least Common Multiple of 92,160,373 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 92,160,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,160,373) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,160,373) x common factors =1 x 4 = 4

LCM(92,160,373) = ( 92 × 160 × 373 ) / 4

LCM(92,160,373) = 5490560 / 4

LCM(92,160,373) = 1372640


Lets's calculate GCF of 504,365,416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1372640/1

Therefore the LCM of Fractions 92/504,160/365,373/416 is 1372640

Greatest Common Factor of 504,365,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,365,416 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 504,365,416 . The biggest common factor number is the GCF number.
So the greatest common factor 504,365,416 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 92/504, 160/365, 373/416

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 92/504, 160/365, 373/416?

Answer: LCM of Numerators as per given numbers 92/504, 160/365, 373/416 is

LCM of Numerators i.e. for 92,160,373 is 1372640

GCF of denominators i.e. for 504,365,416 is 1.

Thus, LCM of Fractions is 1372640.Finally, LCM of Fractions for 92/504, 160/365, 373/416 is 1372640.