Least Common Multiple of 55/450, 333/936, 687/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/450, 333/936, 687/357 quickly i.e. 1398045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/450, 333/936, 687/357 is 1398045.

LCM(55/450, 333/936, 687/357) = 1398045

LCM of 55/450, 333/936, 687/357

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 55/450,333/936,687/357

Given numbers are 55/450,333/936,687/357

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 55,333,687

Least Common Multiple of Numerators i.e. LCM of 55,333,687 is 4194135.

GCF of Denominators means GCF of 450,936,357 as per the given fractions.

GCF of 450,936,357 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,333,687

LCM of Fractions 55/450,333/936,687/357 is 1398045

3 55, 333, 687
55, 111, 229

∴ So the LCM of the given numbers is 3 x 55 x 111 x 229 = 4194135

Least Common Multiple of 55,333,687 with GCF Formula

Least Common Multiple of 55,333,687 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 55,333,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,333,687) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(55,333,687) x common factors =1 x 3 = 3

LCM(55,333,687) = ( 55 × 333 × 687 ) / 3

LCM(55,333,687) = 12582405 / 3

LCM(55,333,687) = 4194135


Lets's calculate GCF of 450,936,357

3 450, 936, 357
150, 312, 119

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4194135/3

Therefore the LCM of Fractions 55/450,333/936,687/357 is 1398045

Greatest Common Factor of 450,936,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,936,357 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 450,936,357 . The biggest common factor number is the GCF number.
So the greatest common factor 450,936,357 is 3.


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 55/450, 333/936, 687/357

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 55/450, 333/936, 687/357?

Answer: LCM of Numerators as per given numbers 55/450, 333/936, 687/357 is

LCM of Numerators i.e. for 55,333,687 is 4194135

GCF of denominators i.e. for 450,936,357 is 3.

Thus, LCM of Fractions is 1398045.Finally, LCM of Fractions for 55/450, 333/936, 687/357 is 1398045.