Least Common Multiple of 1696/605, 5908/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1696/605, 5908/633 quickly i.e. 2504992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1696/605, 5908/633 is 2504992.

LCM(1696/605, 5908/633) = 2504992

LCM of 1696/605, 5908/633

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 1696/605,5908/633

Given numbers are 1696/605,5908/633

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 1696,5908

Least Common Multiple of Numerators i.e. LCM of 1696,5908 is 2504992.

GCF of Denominators means GCF of 605,633 as per the given fractions.

GCF of 605,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1696,5908

LCM of Fractions 1696/605,5908/633 is 2504992

2 1696, 5908
2 848, 2954
424, 1477

∴ So the LCM of the given numbers is 2 x 2 x 424 x 1477 = 2504992

Least Common Multiple of 1696,5908 with GCF Formula

Least Common Multiple of 1696,5908 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 1696,5908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1696,5908) = 4

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

GCF(1696,5908) x common factors =4 x 1 = 4

LCM(1696,5908) = ( 1696 × 5908 ) / 4

LCM(1696,5908) = 10019968 / 4

LCM(1696,5908) = 2504992


Lets's calculate GCF of 605,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2504992/1

Therefore the LCM of Fractions 1696/605,5908/633 is 2504992

Greatest Common Factor of 605,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,633 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 605,633 . The biggest common factor number is the GCF number.
So the greatest common factor 605,633 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1696/605, 5908/633

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 1696/605, 5908/633?

Answer: LCM of Numerators as per given numbers 1696/605, 5908/633 is

LCM of Numerators i.e. for 1696,5908 is 2504992

GCF of denominators i.e. for 605,633 is 1.

Thus, LCM of Fractions is 2504992.Finally, LCM of Fractions for 1696/605, 5908/633 is 2504992.