Least Common Multiple of 809/10, 977/38, 895/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/10, 977/38, 895/92 quickly i.e. 707401735/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/10, 977/38, 895/92 is 707401735/2.

LCM(809/10, 977/38, 895/92) = 707401735/2

LCM of 809/10, 977/38, 895/92

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 809/10,977/38,895/92

Given numbers are 809/10,977/38,895/92

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 809,977,895

Least Common Multiple of Numerators i.e. LCM of 809,977,895 is 707401735.

GCF of Denominators means GCF of 10,38,92 as per the given fractions.

GCF of 10,38,92 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,977,895

LCM of Fractions 809/10,977/38,895/92 is 707401735/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 707401735

Least Common Multiple of 809,977,895 with GCF Formula

Least Common Multiple of 809,977,895 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 809,977,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,977,895) = 1

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

GCF(809,977,895) x common factors =1 x 1 = 1

LCM(809,977,895) = ( 809 × 977 × 895 ) / 1

LCM(809,977,895) = 707401735 / 1

LCM(809,977,895) = 707401735


Lets's calculate GCF of 10,38,92

2 10, 38, 92
5, 19, 46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 707401735/2

Therefore the LCM of Fractions 809/10,977/38,895/92 is 707401735/2

Greatest Common Factor of 10,38,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,38,92 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 92

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

1,2,4,23,46,92

Greatest Common Factor

We found the factors 10,38,92 . The biggest common factor number is the GCF number.
So the greatest common factor 10,38,92 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 809/10, 977/38, 895/92

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 809/10, 977/38, 895/92?

Answer: LCM of Numerators as per given numbers 809/10, 977/38, 895/92 is

LCM of Numerators i.e. for 809,977,895 is 707401735

GCF of denominators i.e. for 10,38,92 is 2.

Thus, LCM of Fractions is 707401735/2.Finally, LCM of Fractions for 809/10, 977/38, 895/92 is 707401735/2.