Least Common Multiple of 101/25, 262/99, 971/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 101/25, 262/99, 971/449 quickly i.e. 25694602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/25, 262/99, 971/449 is 25694602.

LCM(101/25, 262/99, 971/449) = 25694602

LCM of 101/25, 262/99, 971/449

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 101/25,262/99,971/449

Given numbers are 101/25,262/99,971/449

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 101,262,971

Least Common Multiple of Numerators i.e. LCM of 101,262,971 is 25694602.

GCF of Denominators means GCF of 25,99,449 as per the given fractions.

GCF of 25,99,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,262,971

LCM of Fractions 101/25,262/99,971/449 is 25694602

Given numbers has no common factors except 1. So, there LCM is their product i.e 25694602

Least Common Multiple of 101,262,971 with GCF Formula

Least Common Multiple of 101,262,971 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 101,262,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,262,971) = 1

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

GCF(101,262,971) x common factors =1 x 1 = 1

LCM(101,262,971) = ( 101 × 262 × 971 ) / 1

LCM(101,262,971) = 25694602 / 1

LCM(101,262,971) = 25694602


Lets's calculate GCF of 25,99,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25694602/1

Therefore the LCM of Fractions 101/25,262/99,971/449 is 25694602

Greatest Common Factor of 25,99,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,99,449 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 25,99,449 . The biggest common factor number is the GCF number.
So the greatest common factor 25,99,449 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 101/25, 262/99, 971/449

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 101/25, 262/99, 971/449?

Answer: LCM of Numerators as per given numbers 101/25, 262/99, 971/449 is

LCM of Numerators i.e. for 101,262,971 is 25694602

GCF of denominators i.e. for 25,99,449 is 1.

Thus, LCM of Fractions is 25694602.Finally, LCM of Fractions for 101/25, 262/99, 971/449 is 25694602.