Least Common Multiple of 8057/785, 9977/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8057/785, 9977/840 quickly i.e. 80384689/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8057/785, 9977/840 is 80384689/5.

LCM(8057/785, 9977/840) = 80384689/5

LCM of 8057/785, 9977/840

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 8057/785,9977/840

Given numbers are 8057/785,9977/840

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 8057,9977

Least Common Multiple of Numerators i.e. LCM of 8057,9977 is 80384689.

GCF of Denominators means GCF of 785,840 as per the given fractions.

GCF of 785,840 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8057,9977

LCM of Fractions 8057/785,9977/840 is 80384689/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 80384689

Least Common Multiple of 8057,9977 with GCF Formula

Least Common Multiple of 8057,9977 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 8057,9977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8057,9977) = 1

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

GCF(8057,9977) x common factors =1 x 1 = 1

LCM(8057,9977) = ( 8057 × 9977 ) / 1

LCM(8057,9977) = 80384689 / 1

LCM(8057,9977) = 80384689


Lets's calculate GCF of 785,840

5 785, 840
157, 168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80384689/5

Therefore the LCM of Fractions 8057/785,9977/840 is 80384689/5

Greatest Common Factor of 785,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,840 By Matching Biggest Common Factor Method

Factors of 785

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

1,5,157,785

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 785,840 . The biggest common factor number is the GCF number.
So the greatest common factor 785,840 is 5.


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 8057/785, 9977/840

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 8057/785, 9977/840?

Answer: LCM of Numerators as per given numbers 8057/785, 9977/840 is

LCM of Numerators i.e. for 8057,9977 is 80384689

GCF of denominators i.e. for 785,840 is 5.

Thus, LCM of Fractions is 80384689/5.Finally, LCM of Fractions for 8057/785, 9977/840 is 80384689/5.