Least Common Multiple of 83/420, 41/166, 320/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/420, 41/166, 320/701 quickly i.e. 1088960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/420, 41/166, 320/701 is 1088960.

LCM(83/420, 41/166, 320/701) = 1088960

LCM of 83/420, 41/166, 320/701

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 83/420,41/166,320/701

Given numbers are 83/420,41/166,320/701

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 83,41,320

Least Common Multiple of Numerators i.e. LCM of 83,41,320 is 1088960.

GCF of Denominators means GCF of 420,166,701 as per the given fractions.

GCF of 420,166,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,41,320

LCM of Fractions 83/420,41/166,320/701 is 1088960

Given numbers has no common factors except 1. So, there LCM is their product i.e 1088960

Least Common Multiple of 83,41,320 with GCF Formula

Least Common Multiple of 83,41,320 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 83,41,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,41,320) = 1

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

GCF(83,41,320) x common factors =1 x 1 = 1

LCM(83,41,320) = ( 83 × 41 × 320 ) / 1

LCM(83,41,320) = 1088960 / 1

LCM(83,41,320) = 1088960


Lets's calculate GCF of 420,166,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1088960/1

Therefore the LCM of Fractions 83/420,41/166,320/701 is 1088960

Greatest Common Factor of 420,166,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,166,701 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 420,166,701 . The biggest common factor number is the GCF number.
So the greatest common factor 420,166,701 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 83/420, 41/166, 320/701

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 83/420, 41/166, 320/701?

Answer: LCM of Numerators as per given numbers 83/420, 41/166, 320/701 is

LCM of Numerators i.e. for 83,41,320 is 1088960

GCF of denominators i.e. for 420,166,701 is 1.

Thus, LCM of Fractions is 1088960.Finally, LCM of Fractions for 83/420, 41/166, 320/701 is 1088960.