Least Common Multiple of 736/88, 292/9346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 736/88, 292/9346 quickly i.e. 26864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/88, 292/9346 is 26864.

LCM(736/88, 292/9346) = 26864

LCM of 736/88, 292/9346

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 736/88,292/9346

Given numbers are 736/88,292/9346

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 736,292

Least Common Multiple of Numerators i.e. LCM of 736,292 is 53728.

GCF of Denominators means GCF of 88,9346 as per the given fractions.

GCF of 88,9346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,292

LCM of Fractions 736/88,292/9346 is 26864

2 736, 292
2 368, 146
184, 73

∴ So the LCM of the given numbers is 2 x 2 x 184 x 73 = 53728

Least Common Multiple of 736,292 with GCF Formula

Least Common Multiple of 736,292 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 736,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,292) = 4

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

GCF(736,292) x common factors =4 x 1 = 4

LCM(736,292) = ( 736 × 292 ) / 4

LCM(736,292) = 214912 / 4

LCM(736,292) = 53728


Lets's calculate GCF of 88,9346

2 88, 9346
44, 4673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53728/2

Therefore the LCM of Fractions 736/88,292/9346 is 26864

Greatest Common Factor of 88,9346 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,9346 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 9346

List of positive integer factors of 9346 that divides 9346 without a remainder.

1,2,4673,9346

Greatest Common Factor

We found the factors 88,9346 . The biggest common factor number is the GCF number.
So the greatest common factor 88,9346 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 736/88, 292/9346

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 736/88, 292/9346?

Answer: LCM of Numerators as per given numbers 736/88, 292/9346 is

LCM of Numerators i.e. for 736,292 is 53728

GCF of denominators i.e. for 88,9346 is 2.

Thus, LCM of Fractions is 26864.Finally, LCM of Fractions for 736/88, 292/9346 is 26864.