Least Common Multiple of 71/92, 70/140, 804/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/92, 70/140, 804/190 quickly i.e. 998970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/92, 70/140, 804/190 is 998970.

LCM(71/92, 70/140, 804/190) = 998970

LCM of 71/92, 70/140, 804/190

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 71/92,70/140,804/190

Given numbers are 71/92,70/140,804/190

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 71,70,804

Least Common Multiple of Numerators i.e. LCM of 71,70,804 is 1997940.

GCF of Denominators means GCF of 92,140,190 as per the given fractions.

GCF of 92,140,190 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,70,804

LCM of Fractions 71/92,70/140,804/190 is 998970

2 71, 70, 804
71, 35, 402

∴ So the LCM of the given numbers is 2 x 71 x 35 x 402 = 1997940

Least Common Multiple of 71,70,804 with GCF Formula

Least Common Multiple of 71,70,804 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 71,70,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,70,804) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,70,804) x common factors =1 x 2 = 2

LCM(71,70,804) = ( 71 × 70 × 804 ) / 2

LCM(71,70,804) = 3995880 / 2

LCM(71,70,804) = 1997940


Lets's calculate GCF of 92,140,190

2 92, 140, 190
46, 70, 95

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1997940/2

Therefore the LCM of Fractions 71/92,70/140,804/190 is 998970

Greatest Common Factor of 92,140,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,140,190 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 92,140,190 . The biggest common factor number is the GCF number.
So the greatest common factor 92,140,190 is 2.


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 71/92, 70/140, 804/190

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 71/92, 70/140, 804/190?

Answer: LCM of Numerators as per given numbers 71/92, 70/140, 804/190 is

LCM of Numerators i.e. for 71,70,804 is 1997940

GCF of denominators i.e. for 92,140,190 is 2.

Thus, LCM of Fractions is 998970.Finally, LCM of Fractions for 71/92, 70/140, 804/190 is 998970.