Least Common Multiple of 95/428, 343/463, 243/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/428, 343/463, 243/995 quickly i.e. 7918155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/428, 343/463, 243/995 is 7918155.

LCM(95/428, 343/463, 243/995) = 7918155

LCM of 95/428, 343/463, 243/995

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 95/428,343/463,243/995

Given numbers are 95/428,343/463,243/995

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 95,343,243

Least Common Multiple of Numerators i.e. LCM of 95,343,243 is 7918155.

GCF of Denominators means GCF of 428,463,995 as per the given fractions.

GCF of 428,463,995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,343,243

LCM of Fractions 95/428,343/463,243/995 is 7918155

Given numbers has no common factors except 1. So, there LCM is their product i.e 7918155

Least Common Multiple of 95,343,243 with GCF Formula

Least Common Multiple of 95,343,243 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 95,343,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,343,243) = 1

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

GCF(95,343,243) x common factors =1 x 1 = 1

LCM(95,343,243) = ( 95 × 343 × 243 ) / 1

LCM(95,343,243) = 7918155 / 1

LCM(95,343,243) = 7918155


Lets's calculate GCF of 428,463,995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7918155/1

Therefore the LCM of Fractions 95/428,343/463,243/995 is 7918155

Greatest Common Factor of 428,463,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,463,995 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 428,463,995 . The biggest common factor number is the GCF number.
So the greatest common factor 428,463,995 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 95/428, 343/463, 243/995

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 95/428, 343/463, 243/995?

Answer: LCM of Numerators as per given numbers 95/428, 343/463, 243/995 is

LCM of Numerators i.e. for 95,343,243 is 7918155

GCF of denominators i.e. for 428,463,995 is 1.

Thus, LCM of Fractions is 7918155.Finally, LCM of Fractions for 95/428, 343/463, 243/995 is 7918155.