Least Common Multiple of 207/49, 530/91, 275/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 207/49, 530/91, 275/333 quickly i.e. 6034050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 207/49, 530/91, 275/333 is 6034050.

LCM(207/49, 530/91, 275/333) = 6034050

LCM of 207/49, 530/91, 275/333

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 207/49,530/91,275/333

Given numbers are 207/49,530/91,275/333

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 207,530,275

Least Common Multiple of Numerators i.e. LCM of 207,530,275 is 6034050.

GCF of Denominators means GCF of 49,91,333 as per the given fractions.

GCF of 49,91,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 207,530,275

LCM of Fractions 207/49,530/91,275/333 is 6034050

5 207, 530, 275
207, 106, 55

∴ So the LCM of the given numbers is 5 x 207 x 106 x 55 = 6034050

Least Common Multiple of 207,530,275 with GCF Formula

Least Common Multiple of 207,530,275 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 207,530,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,530,275) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(207,530,275) x common factors =1 x 5 = 5

LCM(207,530,275) = ( 207 × 530 × 275 ) / 5

LCM(207,530,275) = 30170250 / 5

LCM(207,530,275) = 6034050


Lets's calculate GCF of 49,91,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6034050/1

Therefore the LCM of Fractions 207/49,530/91,275/333 is 6034050

Greatest Common Factor of 49,91,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,91,333 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 49,91,333 . The biggest common factor number is the GCF number.
So the greatest common factor 49,91,333 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 207/49, 530/91, 275/333

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 207/49, 530/91, 275/333?

Answer: LCM of Numerators as per given numbers 207/49, 530/91, 275/333 is

LCM of Numerators i.e. for 207,530,275 is 6034050

GCF of denominators i.e. for 49,91,333 is 1.

Thus, LCM of Fractions is 6034050.Finally, LCM of Fractions for 207/49, 530/91, 275/333 is 6034050.