Least Common Multiple of 88/492, 306/103, 406/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/492, 306/103, 406/343 quickly i.e. 2733192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/492, 306/103, 406/343 is 2733192.

LCM(88/492, 306/103, 406/343) = 2733192

LCM of 88/492, 306/103, 406/343

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 88/492,306/103,406/343

Given numbers are 88/492,306/103,406/343

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 88,306,406

Least Common Multiple of Numerators i.e. LCM of 88,306,406 is 2733192.

GCF of Denominators means GCF of 492,103,343 as per the given fractions.

GCF of 492,103,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,306,406

LCM of Fractions 88/492,306/103,406/343 is 2733192

2 88, 306, 406
44, 153, 203

∴ So the LCM of the given numbers is 2 x 44 x 153 x 203 = 2733192

Least Common Multiple of 88,306,406 with GCF Formula

Least Common Multiple of 88,306,406 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 88,306,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,306,406) = 2

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

GCF(88,306,406) x common factors =2 x 2 = 4

LCM(88,306,406) = ( 88 × 306 × 406 ) / 4

LCM(88,306,406) = 10932768 / 4

LCM(88,306,406) = 2733192


Lets's calculate GCF of 492,103,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2733192/1

Therefore the LCM of Fractions 88/492,306/103,406/343 is 2733192

Greatest Common Factor of 492,103,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,103,343 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 492,103,343 . The biggest common factor number is the GCF number.
So the greatest common factor 492,103,343 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 88/492, 306/103, 406/343

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 88/492, 306/103, 406/343?

Answer: LCM of Numerators as per given numbers 88/492, 306/103, 406/343 is

LCM of Numerators i.e. for 88,306,406 is 2733192

GCF of denominators i.e. for 492,103,343 is 1.

Thus, LCM of Fractions is 2733192.Finally, LCM of Fractions for 88/492, 306/103, 406/343 is 2733192.