Least Common Multiple of 55/496, 246/338, 154/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/496, 246/338, 154/694 quickly i.e. 47355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/496, 246/338, 154/694 is 47355.

LCM(55/496, 246/338, 154/694) = 47355

LCM of 55/496, 246/338, 154/694

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 55/496,246/338,154/694

Given numbers are 55/496,246/338,154/694

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 55,246,154

Least Common Multiple of Numerators i.e. LCM of 55,246,154 is 94710.

GCF of Denominators means GCF of 496,338,694 as per the given fractions.

GCF of 496,338,694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,246,154

LCM of Fractions 55/496,246/338,154/694 is 47355

2 55, 246, 154
11 55, 123, 77
5, 123, 7

∴ So the LCM of the given numbers is 2 x 11 x 5 x 123 x 7 = 94710

Least Common Multiple of 55,246,154 with GCF Formula

Least Common Multiple of 55,246,154 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 55,246,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,246,154) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(55,246,154) x common factors =1 x 22 = 22

LCM(55,246,154) = ( 55 × 246 × 154 ) / 22

LCM(55,246,154) = 2083620 / 22

LCM(55,246,154) = 94710


Lets's calculate GCF of 496,338,694

2 496, 338, 694
248, 169, 347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94710/2

Therefore the LCM of Fractions 55/496,246/338,154/694 is 47355

Greatest Common Factor of 496,338,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,338,694 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 496,338,694 . The biggest common factor number is the GCF number.
So the greatest common factor 496,338,694 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 55/496, 246/338, 154/694

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 55/496, 246/338, 154/694?

Answer: LCM of Numerators as per given numbers 55/496, 246/338, 154/694 is

LCM of Numerators i.e. for 55,246,154 is 94710

GCF of denominators i.e. for 496,338,694 is 2.

Thus, LCM of Fractions is 47355.Finally, LCM of Fractions for 55/496, 246/338, 154/694 is 47355.