Least Common Multiple of 6276/95, 6989/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6276/95, 6989/705 quickly i.e. 43862964/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6276/95, 6989/705 is 43862964/5.

LCM(6276/95, 6989/705) = 43862964/5

LCM of 6276/95, 6989/705

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 6276/95,6989/705

Given numbers are 6276/95,6989/705

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 6276,6989

Least Common Multiple of Numerators i.e. LCM of 6276,6989 is 43862964.

GCF of Denominators means GCF of 95,705 as per the given fractions.

GCF of 95,705 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6276,6989

LCM of Fractions 6276/95,6989/705 is 43862964/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 43862964

Least Common Multiple of 6276,6989 with GCF Formula

Least Common Multiple of 6276,6989 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 6276,6989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6276,6989) = 1

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

GCF(6276,6989) x common factors =1 x 1 = 1

LCM(6276,6989) = ( 6276 × 6989 ) / 1

LCM(6276,6989) = 43862964 / 1

LCM(6276,6989) = 43862964


Lets's calculate GCF of 95,705

5 95, 705
19, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43862964/5

Therefore the LCM of Fractions 6276/95,6989/705 is 43862964/5

Greatest Common Factor of 95,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,705 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 95,705 . The biggest common factor number is the GCF number.
So the greatest common factor 95,705 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6276/95, 6989/705

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 6276/95, 6989/705?

Answer: LCM of Numerators as per given numbers 6276/95, 6989/705 is

LCM of Numerators i.e. for 6276,6989 is 43862964

GCF of denominators i.e. for 95,705 is 5.

Thus, LCM of Fractions is 43862964/5.Finally, LCM of Fractions for 6276/95, 6989/705 is 43862964/5.