Least Common Multiple of 4346/281, 5310/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4346/281, 5310/736 quickly i.e. 11538630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4346/281, 5310/736 is 11538630.

LCM(4346/281, 5310/736) = 11538630

LCM of 4346/281, 5310/736

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 4346/281,5310/736

Given numbers are 4346/281,5310/736

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 4346,5310

Least Common Multiple of Numerators i.e. LCM of 4346,5310 is 11538630.

GCF of Denominators means GCF of 281,736 as per the given fractions.

GCF of 281,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4346,5310

LCM of Fractions 4346/281,5310/736 is 11538630

2 4346, 5310
2173, 2655

∴ So the LCM of the given numbers is 2 x 2173 x 2655 = 11538630

Least Common Multiple of 4346,5310 with GCF Formula

Least Common Multiple of 4346,5310 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 4346,5310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4346,5310) = 2

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

GCF(4346,5310) x common factors =2 x 1 = 2

LCM(4346,5310) = ( 4346 × 5310 ) / 2

LCM(4346,5310) = 23077260 / 2

LCM(4346,5310) = 11538630


Lets's calculate GCF of 281,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11538630/1

Therefore the LCM of Fractions 4346/281,5310/736 is 11538630

Greatest Common Factor of 281,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,736 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 281,736 . The biggest common factor number is the GCF number.
So the greatest common factor 281,736 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4346/281, 5310/736

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 4346/281, 5310/736?

Answer: LCM of Numerators as per given numbers 4346/281, 5310/736 is

LCM of Numerators i.e. for 4346,5310 is 11538630

GCF of denominators i.e. for 281,736 is 1.

Thus, LCM of Fractions is 11538630.Finally, LCM of Fractions for 4346/281, 5310/736 is 11538630.