Least Common Multiple of 889/160, 805/735, 166/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 889/160, 805/735, 166/785 quickly i.e. 3394202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 889/160, 805/735, 166/785 is 3394202.

LCM(889/160, 805/735, 166/785) = 3394202

LCM of 889/160, 805/735, 166/785

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 889/160,805/735,166/785

Given numbers are 889/160,805/735,166/785

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 889,805,166

Least Common Multiple of Numerators i.e. LCM of 889,805,166 is 16971010.

GCF of Denominators means GCF of 160,735,785 as per the given fractions.

GCF of 160,735,785 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 889,805,166

LCM of Fractions 889/160,805/735,166/785 is 3394202

7 889, 805, 166
127, 115, 166

∴ So the LCM of the given numbers is 7 x 127 x 115 x 166 = 16971010

Least Common Multiple of 889,805,166 with GCF Formula

Least Common Multiple of 889,805,166 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 889,805,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,805,166) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(889,805,166) x common factors =1 x 7 = 7

LCM(889,805,166) = ( 889 × 805 × 166 ) / 7

LCM(889,805,166) = 118797070 / 7

LCM(889,805,166) = 16971010


Lets's calculate GCF of 160,735,785

5 160, 735, 785
32, 147, 157

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16971010/5

Therefore the LCM of Fractions 889/160,805/735,166/785 is 3394202

Greatest Common Factor of 160,735,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,735,785 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 160,735,785 . The biggest common factor number is the GCF number.
So the greatest common factor 160,735,785 is 5.


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 889/160, 805/735, 166/785

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 889/160, 805/735, 166/785?

Answer: LCM of Numerators as per given numbers 889/160, 805/735, 166/785 is

LCM of Numerators i.e. for 889,805,166 is 16971010

GCF of denominators i.e. for 160,735,785 is 5.

Thus, LCM of Fractions is 3394202.Finally, LCM of Fractions for 889/160, 805/735, 166/785 is 3394202.