Least Common Multiple of 113/739, 8345/1464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 113/739, 8345/1464 quickly i.e. 942985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 113/739, 8345/1464 is 942985.

LCM(113/739, 8345/1464) = 942985

LCM of 113/739, 8345/1464

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 113/739,8345/1464

Given numbers are 113/739,8345/1464

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 113,8345

Least Common Multiple of Numerators i.e. LCM of 113,8345 is 942985.

GCF of Denominators means GCF of 739,1464 as per the given fractions.

GCF of 739,1464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 113,8345

LCM of Fractions 113/739,8345/1464 is 942985

Given numbers has no common factors except 1. So, there LCM is their product i.e 942985

Least Common Multiple of 113,8345 with GCF Formula

Least Common Multiple of 113,8345 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 113,8345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,8345) = 1

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

GCF(113,8345) x common factors =1 x 1 = 1

LCM(113,8345) = ( 113 × 8345 ) / 1

LCM(113,8345) = 942985 / 1

LCM(113,8345) = 942985


Lets's calculate GCF of 739,1464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 942985/1

Therefore the LCM of Fractions 113/739,8345/1464 is 942985

Greatest Common Factor of 739,1464 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,1464 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 1464

List of positive integer factors of 1464 that divides 1464 without a remainder.

1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464

Greatest Common Factor

We found the factors 739,1464 . The biggest common factor number is the GCF number.
So the greatest common factor 739,1464 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 113/739, 8345/1464

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 113/739, 8345/1464?

Answer: LCM of Numerators as per given numbers 113/739, 8345/1464 is

LCM of Numerators i.e. for 113,8345 is 942985

GCF of denominators i.e. for 739,1464 is 1.

Thus, LCM of Fractions is 942985.Finally, LCM of Fractions for 113/739, 8345/1464 is 942985.