Least Common Multiple of 9713/940, 3015/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9713/940, 3015/670 quickly i.e. 29284695/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9713/940, 3015/670 is 29284695/10.

LCM(9713/940, 3015/670) = 29284695/10

LCM of 9713/940, 3015/670

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 9713/940,3015/670

Given numbers are 9713/940,3015/670

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 9713,3015

Least Common Multiple of Numerators i.e. LCM of 9713,3015 is 29284695.

GCF of Denominators means GCF of 940,670 as per the given fractions.

GCF of 940,670 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9713,3015

LCM of Fractions 9713/940,3015/670 is 29284695/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 29284695

Least Common Multiple of 9713,3015 with GCF Formula

Least Common Multiple of 9713,3015 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 9713,3015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9713,3015) = 1

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

GCF(9713,3015) x common factors =1 x 1 = 1

LCM(9713,3015) = ( 9713 × 3015 ) / 1

LCM(9713,3015) = 29284695 / 1

LCM(9713,3015) = 29284695


Lets's calculate GCF of 940,670

2 940, 670
5 470, 335
94, 67

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29284695/10

Therefore the LCM of Fractions 9713/940,3015/670 is 29284695/10

Greatest Common Factor of 940,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,670 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 940,670 . The biggest common factor number is the GCF number.
So the greatest common factor 940,670 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9713/940, 3015/670

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 9713/940, 3015/670?

Answer: LCM of Numerators as per given numbers 9713/940, 3015/670 is

LCM of Numerators i.e. for 9713,3015 is 29284695

GCF of denominators i.e. for 940,670 is 10.

Thus, LCM of Fractions is 29284695/10.Finally, LCM of Fractions for 9713/940, 3015/670 is 29284695/10.