Least Common Multiple of 73/202, 199/971, 614/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/202, 199/971, 614/685 quickly i.e. 8919578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/202, 199/971, 614/685 is 8919578.

LCM(73/202, 199/971, 614/685) = 8919578

LCM of 73/202, 199/971, 614/685

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 73/202,199/971,614/685

Given numbers are 73/202,199/971,614/685

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 73,199,614

Least Common Multiple of Numerators i.e. LCM of 73,199,614 is 8919578.

GCF of Denominators means GCF of 202,971,685 as per the given fractions.

GCF of 202,971,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,199,614

LCM of Fractions 73/202,199/971,614/685 is 8919578

Given numbers has no common factors except 1. So, there LCM is their product i.e 8919578

Least Common Multiple of 73,199,614 with GCF Formula

Least Common Multiple of 73,199,614 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 73,199,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,199,614) = 1

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

GCF(73,199,614) x common factors =1 x 1 = 1

LCM(73,199,614) = ( 73 × 199 × 614 ) / 1

LCM(73,199,614) = 8919578 / 1

LCM(73,199,614) = 8919578


Lets's calculate GCF of 202,971,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8919578/1

Therefore the LCM of Fractions 73/202,199/971,614/685 is 8919578

Greatest Common Factor of 202,971,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,971,685 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 202,971,685 . The biggest common factor number is the GCF number.
So the greatest common factor 202,971,685 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 73/202, 199/971, 614/685

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 73/202, 199/971, 614/685?

Answer: LCM of Numerators as per given numbers 73/202, 199/971, 614/685 is

LCM of Numerators i.e. for 73,199,614 is 8919578

GCF of denominators i.e. for 202,971,685 is 1.

Thus, LCM of Fractions is 8919578.Finally, LCM of Fractions for 73/202, 199/971, 614/685 is 8919578.