Least Common Multiple of 77/697, 3870/1160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/697, 3870/1160 quickly i.e. 297990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/697, 3870/1160 is 297990.

LCM(77/697, 3870/1160) = 297990

LCM of 77/697, 3870/1160

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 77/697,3870/1160

Given numbers are 77/697,3870/1160

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 77,3870

Least Common Multiple of Numerators i.e. LCM of 77,3870 is 297990.

GCF of Denominators means GCF of 697,1160 as per the given fractions.

GCF of 697,1160 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,3870

LCM of Fractions 77/697,3870/1160 is 297990

Given numbers has no common factors except 1. So, there LCM is their product i.e 297990

Least Common Multiple of 77,3870 with GCF Formula

Least Common Multiple of 77,3870 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 77,3870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,3870) = 1

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

GCF(77,3870) x common factors =1 x 1 = 1

LCM(77,3870) = ( 77 × 3870 ) / 1

LCM(77,3870) = 297990 / 1

LCM(77,3870) = 297990


Lets's calculate GCF of 697,1160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297990/1

Therefore the LCM of Fractions 77/697,3870/1160 is 297990

Greatest Common Factor of 697,1160 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,1160 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 1160

List of positive integer factors of 1160 that divides 1160 without a remainder.

1,2,4,5,8,10,20,29,40,58,116,145,232,290,580,1160

Greatest Common Factor

We found the factors 697,1160 . The biggest common factor number is the GCF number.
So the greatest common factor 697,1160 is 1.


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 77/697, 3870/1160

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 77/697, 3870/1160?

Answer: LCM of Numerators as per given numbers 77/697, 3870/1160 is

LCM of Numerators i.e. for 77,3870 is 297990

GCF of denominators i.e. for 697,1160 is 1.

Thus, LCM of Fractions is 297990.Finally, LCM of Fractions for 77/697, 3870/1160 is 297990.