Least Common Multiple of 38/446, 625/86, 977/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/446, 625/86, 977/117 quickly i.e. 23203750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/446, 625/86, 977/117 is 23203750.

LCM(38/446, 625/86, 977/117) = 23203750

LCM of 38/446, 625/86, 977/117

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 38/446,625/86,977/117

Given numbers are 38/446,625/86,977/117

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 38,625,977

Least Common Multiple of Numerators i.e. LCM of 38,625,977 is 23203750.

GCF of Denominators means GCF of 446,86,117 as per the given fractions.

GCF of 446,86,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,625,977

LCM of Fractions 38/446,625/86,977/117 is 23203750

Given numbers has no common factors except 1. So, there LCM is their product i.e 23203750

Least Common Multiple of 38,625,977 with GCF Formula

Least Common Multiple of 38,625,977 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 38,625,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,625,977) = 1

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

GCF(38,625,977) x common factors =1 x 1 = 1

LCM(38,625,977) = ( 38 × 625 × 977 ) / 1

LCM(38,625,977) = 23203750 / 1

LCM(38,625,977) = 23203750


Lets's calculate GCF of 446,86,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23203750/1

Therefore the LCM of Fractions 38/446,625/86,977/117 is 23203750

Greatest Common Factor of 446,86,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,86,117 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 446,86,117 . The biggest common factor number is the GCF number.
So the greatest common factor 446,86,117 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/446, 625/86, 977/117

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 38/446, 625/86, 977/117?

Answer: LCM of Numerators as per given numbers 38/446, 625/86, 977/117 is

LCM of Numerators i.e. for 38,625,977 is 23203750

GCF of denominators i.e. for 446,86,117 is 1.

Thus, LCM of Fractions is 23203750.Finally, LCM of Fractions for 38/446, 625/86, 977/117 is 23203750.