Least Common Multiple of 985/175, 471/677, 802/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 985/175, 471/677, 802/660 quickly i.e. 372075870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 985/175, 471/677, 802/660 is 372075870.

LCM(985/175, 471/677, 802/660) = 372075870

LCM of 985/175, 471/677, 802/660

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 985/175,471/677,802/660

Given numbers are 985/175,471/677,802/660

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 985,471,802

Least Common Multiple of Numerators i.e. LCM of 985,471,802 is 372075870.

GCF of Denominators means GCF of 175,677,660 as per the given fractions.

GCF of 175,677,660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 985,471,802

LCM of Fractions 985/175,471/677,802/660 is 372075870

Given numbers has no common factors except 1. So, there LCM is their product i.e 372075870

Least Common Multiple of 985,471,802 with GCF Formula

Least Common Multiple of 985,471,802 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 985,471,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,471,802) = 1

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

GCF(985,471,802) x common factors =1 x 1 = 1

LCM(985,471,802) = ( 985 × 471 × 802 ) / 1

LCM(985,471,802) = 372075870 / 1

LCM(985,471,802) = 372075870


Lets's calculate GCF of 175,677,660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372075870/1

Therefore the LCM of Fractions 985/175,471/677,802/660 is 372075870

Greatest Common Factor of 175,677,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,677,660 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 175,677,660 . The biggest common factor number is the GCF number.
So the greatest common factor 175,677,660 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 985/175, 471/677, 802/660

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 985/175, 471/677, 802/660?

Answer: LCM of Numerators as per given numbers 985/175, 471/677, 802/660 is

LCM of Numerators i.e. for 985,471,802 is 372075870

GCF of denominators i.e. for 175,677,660 is 1.

Thus, LCM of Fractions is 372075870.Finally, LCM of Fractions for 985/175, 471/677, 802/660 is 372075870.