Least Common Multiple of 88/649, 26/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/649, 26/574 quickly i.e. 1144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/649, 26/574 is 1144.

LCM(88/649, 26/574) = 1144

LCM of 88/649, 26/574

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 88/649,26/574

Given numbers are 88/649,26/574

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 88,26

Least Common Multiple of Numerators i.e. LCM of 88,26 is 1144.

GCF of Denominators means GCF of 649,574 as per the given fractions.

GCF of 649,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,26

LCM of Fractions 88/649,26/574 is 1144

2 88, 26
44, 13

∴ So the LCM of the given numbers is 2 x 44 x 13 = 1144

Least Common Multiple of 88,26 with GCF Formula

Least Common Multiple of 88,26 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 88,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,26) = 2

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

GCF(88,26) x common factors =2 x 1 = 2

LCM(88,26) = ( 88 × 26 ) / 2

LCM(88,26) = 2288 / 2

LCM(88,26) = 1144


Lets's calculate GCF of 649,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1144/1

Therefore the LCM of Fractions 88/649,26/574 is 1144

Greatest Common Factor of 649,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,574 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 649,574 . The biggest common factor number is the GCF number.
So the greatest common factor 649,574 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/649, 26/574

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 88/649, 26/574?

Answer: LCM of Numerators as per given numbers 88/649, 26/574 is

LCM of Numerators i.e. for 88,26 is 1144

GCF of denominators i.e. for 649,574 is 1.

Thus, LCM of Fractions is 1144.Finally, LCM of Fractions for 88/649, 26/574 is 1144.