Least Common Multiple of 99/98, 395/67, 557/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/98, 395/67, 557/314 quickly i.e. 21781485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/98, 395/67, 557/314 is 21781485.

LCM(99/98, 395/67, 557/314) = 21781485

LCM of 99/98, 395/67, 557/314

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 99/98,395/67,557/314

Given numbers are 99/98,395/67,557/314

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 99,395,557

Least Common Multiple of Numerators i.e. LCM of 99,395,557 is 21781485.

GCF of Denominators means GCF of 98,67,314 as per the given fractions.

GCF of 98,67,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,395,557

LCM of Fractions 99/98,395/67,557/314 is 21781485

Given numbers has no common factors except 1. So, there LCM is their product i.e 21781485

Least Common Multiple of 99,395,557 with GCF Formula

Least Common Multiple of 99,395,557 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 99,395,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,395,557) = 1

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

GCF(99,395,557) x common factors =1 x 1 = 1

LCM(99,395,557) = ( 99 × 395 × 557 ) / 1

LCM(99,395,557) = 21781485 / 1

LCM(99,395,557) = 21781485


Lets's calculate GCF of 98,67,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21781485/1

Therefore the LCM of Fractions 99/98,395/67,557/314 is 21781485

Greatest Common Factor of 98,67,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,67,314 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 98,67,314 . The biggest common factor number is the GCF number.
So the greatest common factor 98,67,314 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 99/98, 395/67, 557/314

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 99/98, 395/67, 557/314?

Answer: LCM of Numerators as per given numbers 99/98, 395/67, 557/314 is

LCM of Numerators i.e. for 99,395,557 is 21781485

GCF of denominators i.e. for 98,67,314 is 1.

Thus, LCM of Fractions is 21781485.Finally, LCM of Fractions for 99/98, 395/67, 557/314 is 21781485.