Least Common Multiple of 51/297, 94/170, 950/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/297, 94/170, 950/687 quickly i.e. 2277150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/297, 94/170, 950/687 is 2277150.

LCM(51/297, 94/170, 950/687) = 2277150

LCM of 51/297, 94/170, 950/687

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 51/297,94/170,950/687

Given numbers are 51/297,94/170,950/687

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 51,94,950

Least Common Multiple of Numerators i.e. LCM of 51,94,950 is 2277150.

GCF of Denominators means GCF of 297,170,687 as per the given fractions.

GCF of 297,170,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,94,950

LCM of Fractions 51/297,94/170,950/687 is 2277150

2 51, 94, 950
51, 47, 475

∴ So the LCM of the given numbers is 2 x 51 x 47 x 475 = 2277150

Least Common Multiple of 51,94,950 with GCF Formula

Least Common Multiple of 51,94,950 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 51,94,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,94,950) = 1

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

GCF(51,94,950) x common factors =1 x 2 = 2

LCM(51,94,950) = ( 51 × 94 × 950 ) / 2

LCM(51,94,950) = 4554300 / 2

LCM(51,94,950) = 2277150


Lets's calculate GCF of 297,170,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2277150/1

Therefore the LCM of Fractions 51/297,94/170,950/687 is 2277150

Greatest Common Factor of 297,170,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,170,687 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 297,170,687 . The biggest common factor number is the GCF number.
So the greatest common factor 297,170,687 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 51/297, 94/170, 950/687

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 51/297, 94/170, 950/687?

Answer: LCM of Numerators as per given numbers 51/297, 94/170, 950/687 is

LCM of Numerators i.e. for 51,94,950 is 2277150

GCF of denominators i.e. for 297,170,687 is 1.

Thus, LCM of Fractions is 2277150.Finally, LCM of Fractions for 51/297, 94/170, 950/687 is 2277150.