Least Common Multiple of 6403/70, 7374/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6403/70, 7374/555 quickly i.e. 47215722/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6403/70, 7374/555 is 47215722/5.

LCM(6403/70, 7374/555) = 47215722/5

LCM of 6403/70, 7374/555

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 6403/70,7374/555

Given numbers are 6403/70,7374/555

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 6403,7374

Least Common Multiple of Numerators i.e. LCM of 6403,7374 is 47215722.

GCF of Denominators means GCF of 70,555 as per the given fractions.

GCF of 70,555 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6403,7374

LCM of Fractions 6403/70,7374/555 is 47215722/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 47215722

Least Common Multiple of 6403,7374 with GCF Formula

Least Common Multiple of 6403,7374 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 6403,7374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6403,7374) = 1

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

GCF(6403,7374) x common factors =1 x 1 = 1

LCM(6403,7374) = ( 6403 × 7374 ) / 1

LCM(6403,7374) = 47215722 / 1

LCM(6403,7374) = 47215722


Lets's calculate GCF of 70,555

5 70, 555
14, 111

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47215722/5

Therefore the LCM of Fractions 6403/70,7374/555 is 47215722/5

Greatest Common Factor of 70,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,555 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 70,555 . The biggest common factor number is the GCF number.
So the greatest common factor 70,555 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6403/70, 7374/555

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 6403/70, 7374/555?

Answer: LCM of Numerators as per given numbers 6403/70, 7374/555 is

LCM of Numerators i.e. for 6403,7374 is 47215722

GCF of denominators i.e. for 70,555 is 5.

Thus, LCM of Fractions is 47215722/5.Finally, LCM of Fractions for 6403/70, 7374/555 is 47215722/5.