Least Common Multiple of 630/33, 190/52, 137/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 630/33, 190/52, 137/728 quickly i.e. 1639890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 630/33, 190/52, 137/728 is 1639890.

LCM(630/33, 190/52, 137/728) = 1639890

LCM of 630/33, 190/52, 137/728

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 630/33,190/52,137/728

Given numbers are 630/33,190/52,137/728

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 630,190,137

Least Common Multiple of Numerators i.e. LCM of 630,190,137 is 1639890.

GCF of Denominators means GCF of 33,52,728 as per the given fractions.

GCF of 33,52,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 630,190,137

LCM of Fractions 630/33,190/52,137/728 is 1639890

2 630, 190, 137
5 315, 95, 137
63, 19, 137

∴ So the LCM of the given numbers is 2 x 5 x 63 x 19 x 137 = 1639890

Least Common Multiple of 630,190,137 with GCF Formula

Least Common Multiple of 630,190,137 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 630,190,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,190,137) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(630,190,137) x common factors =1 x 10 = 10

LCM(630,190,137) = ( 630 × 190 × 137 ) / 10

LCM(630,190,137) = 16398900 / 10

LCM(630,190,137) = 1639890


Lets's calculate GCF of 33,52,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1639890/1

Therefore the LCM of Fractions 630/33,190/52,137/728 is 1639890

Greatest Common Factor of 33,52,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,52,728 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 33,52,728 . The biggest common factor number is the GCF number.
So the greatest common factor 33,52,728 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 630/33, 190/52, 137/728

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 630/33, 190/52, 137/728?

Answer: LCM of Numerators as per given numbers 630/33, 190/52, 137/728 is

LCM of Numerators i.e. for 630,190,137 is 1639890

GCF of denominators i.e. for 33,52,728 is 1.

Thus, LCM of Fractions is 1639890.Finally, LCM of Fractions for 630/33, 190/52, 137/728 is 1639890.