Least Common Multiple of 1964/602, 5890/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1964/602, 5890/272 quickly i.e. 2891990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1964/602, 5890/272 is 2891990.

LCM(1964/602, 5890/272) = 2891990

LCM of 1964/602, 5890/272

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 1964/602,5890/272

Given numbers are 1964/602,5890/272

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 1964,5890

Least Common Multiple of Numerators i.e. LCM of 1964,5890 is 5783980.

GCF of Denominators means GCF of 602,272 as per the given fractions.

GCF of 602,272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1964,5890

LCM of Fractions 1964/602,5890/272 is 2891990

2 1964, 5890
982, 2945

∴ So the LCM of the given numbers is 2 x 982 x 2945 = 5783980

Least Common Multiple of 1964,5890 with GCF Formula

Least Common Multiple of 1964,5890 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 1964,5890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1964,5890) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(1964,5890) x common factors =2 x 1 = 2

LCM(1964,5890) = ( 1964 × 5890 ) / 2

LCM(1964,5890) = 11567960 / 2

LCM(1964,5890) = 5783980


Lets's calculate GCF of 602,272

2 602, 272
301, 136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5783980/2

Therefore the LCM of Fractions 1964/602,5890/272 is 2891990

Greatest Common Factor of 602,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,272 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 602,272 . The biggest common factor number is the GCF number.
So the greatest common factor 602,272 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 1964/602, 5890/272

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 1964/602, 5890/272?

Answer: LCM of Numerators as per given numbers 1964/602, 5890/272 is

LCM of Numerators i.e. for 1964,5890 is 5783980

GCF of denominators i.e. for 602,272 is 2.

Thus, LCM of Fractions is 2891990.Finally, LCM of Fractions for 1964/602, 5890/272 is 2891990.