Least Common Multiple of 66/354, 683/151, 990/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/354, 683/151, 990/697 quickly i.e. 676170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/354, 683/151, 990/697 is 676170.

LCM(66/354, 683/151, 990/697) = 676170

LCM of 66/354, 683/151, 990/697

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 66/354,683/151,990/697

Given numbers are 66/354,683/151,990/697

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 66,683,990

Least Common Multiple of Numerators i.e. LCM of 66,683,990 is 676170.

GCF of Denominators means GCF of 354,151,697 as per the given fractions.

GCF of 354,151,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,683,990

LCM of Fractions 66/354,683/151,990/697 is 676170

2 66, 683, 990
3 33, 683, 495
11 11, 683, 165
1, 683, 15

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 683 x 15 = 676170

Least Common Multiple of 66,683,990 with GCF Formula

Least Common Multiple of 66,683,990 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 66,683,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,683,990) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(66,683,990) x common factors =1 x 66 = 66

LCM(66,683,990) = ( 66 × 683 × 990 ) / 66

LCM(66,683,990) = 44627220 / 66

LCM(66,683,990) = 676170


Lets's calculate GCF of 354,151,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 676170/1

Therefore the LCM of Fractions 66/354,683/151,990/697 is 676170

Greatest Common Factor of 354,151,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,151,697 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 354,151,697 . The biggest common factor number is the GCF number.
So the greatest common factor 354,151,697 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 66/354, 683/151, 990/697

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 66/354, 683/151, 990/697?

Answer: LCM of Numerators as per given numbers 66/354, 683/151, 990/697 is

LCM of Numerators i.e. for 66,683,990 is 676170

GCF of denominators i.e. for 354,151,697 is 1.

Thus, LCM of Fractions is 676170.Finally, LCM of Fractions for 66/354, 683/151, 990/697 is 676170.