Least Common Multiple of 699/77, 257/36, 578/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 699/77, 257/36, 578/155 quickly i.e. 103833654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/77, 257/36, 578/155 is 103833654.

LCM(699/77, 257/36, 578/155) = 103833654

LCM of 699/77, 257/36, 578/155

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 699/77,257/36,578/155

Given numbers are 699/77,257/36,578/155

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 699,257,578

Least Common Multiple of Numerators i.e. LCM of 699,257,578 is 103833654.

GCF of Denominators means GCF of 77,36,155 as per the given fractions.

GCF of 77,36,155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,257,578

LCM of Fractions 699/77,257/36,578/155 is 103833654

Given numbers has no common factors except 1. So, there LCM is their product i.e 103833654

Least Common Multiple of 699,257,578 with GCF Formula

Least Common Multiple of 699,257,578 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 699,257,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,257,578) = 1

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

GCF(699,257,578) x common factors =1 x 1 = 1

LCM(699,257,578) = ( 699 × 257 × 578 ) / 1

LCM(699,257,578) = 103833654 / 1

LCM(699,257,578) = 103833654


Lets's calculate GCF of 77,36,155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103833654/1

Therefore the LCM of Fractions 699/77,257/36,578/155 is 103833654

Greatest Common Factor of 77,36,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,36,155 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 77,36,155 . The biggest common factor number is the GCF number.
So the greatest common factor 77,36,155 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 699/77, 257/36, 578/155

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 699/77, 257/36, 578/155?

Answer: LCM of Numerators as per given numbers 699/77, 257/36, 578/155 is

LCM of Numerators i.e. for 699,257,578 is 103833654

GCF of denominators i.e. for 77,36,155 is 1.

Thus, LCM of Fractions is 103833654.Finally, LCM of Fractions for 699/77, 257/36, 578/155 is 103833654.