Least Common Multiple of 92/692, 63/818, 329/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/692, 63/818, 329/560 quickly i.e. 136206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/692, 63/818, 329/560 is 136206.

LCM(92/692, 63/818, 329/560) = 136206

LCM of 92/692, 63/818, 329/560

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 92/692,63/818,329/560

Given numbers are 92/692,63/818,329/560

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 92,63,329

Least Common Multiple of Numerators i.e. LCM of 92,63,329 is 272412.

GCF of Denominators means GCF of 692,818,560 as per the given fractions.

GCF of 692,818,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,63,329

LCM of Fractions 92/692,63/818,329/560 is 136206

7 92, 63, 329
92, 9, 47

∴ So the LCM of the given numbers is 7 x 92 x 9 x 47 = 272412

Least Common Multiple of 92,63,329 with GCF Formula

Least Common Multiple of 92,63,329 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 92,63,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,63,329) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(92,63,329) x common factors =1 x 7 = 7

LCM(92,63,329) = ( 92 × 63 × 329 ) / 7

LCM(92,63,329) = 1906884 / 7

LCM(92,63,329) = 272412


Lets's calculate GCF of 692,818,560

2 692, 818, 560
346, 409, 280

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272412/2

Therefore the LCM of Fractions 92/692,63/818,329/560 is 136206

Greatest Common Factor of 692,818,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,818,560 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 692,818,560 . The biggest common factor number is the GCF number.
So the greatest common factor 692,818,560 is 2.


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 92/692, 63/818, 329/560

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 92/692, 63/818, 329/560?

Answer: LCM of Numerators as per given numbers 92/692, 63/818, 329/560 is

LCM of Numerators i.e. for 92,63,329 is 272412

GCF of denominators i.e. for 692,818,560 is 2.

Thus, LCM of Fractions is 136206.Finally, LCM of Fractions for 92/692, 63/818, 329/560 is 136206.