Least Common Multiple of 77/882, 695/746, 732/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/882, 695/746, 732/704 quickly i.e. 19586490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/882, 695/746, 732/704 is 19586490.

LCM(77/882, 695/746, 732/704) = 19586490

LCM of 77/882, 695/746, 732/704

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 77/882,695/746,732/704

Given numbers are 77/882,695/746,732/704

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 77,695,732

Least Common Multiple of Numerators i.e. LCM of 77,695,732 is 39172980.

GCF of Denominators means GCF of 882,746,704 as per the given fractions.

GCF of 882,746,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,695,732

LCM of Fractions 77/882,695/746,732/704 is 19586490

Given numbers has no common factors except 1. So, there LCM is their product i.e 39172980

Least Common Multiple of 77,695,732 with GCF Formula

Least Common Multiple of 77,695,732 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 77,695,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,695,732) = 1

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

GCF(77,695,732) x common factors =1 x 1 = 1

LCM(77,695,732) = ( 77 × 695 × 732 ) / 1

LCM(77,695,732) = 39172980 / 1

LCM(77,695,732) = 39172980


Lets's calculate GCF of 882,746,704

2 882, 746, 704
441, 373, 352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39172980/2

Therefore the LCM of Fractions 77/882,695/746,732/704 is 19586490

Greatest Common Factor of 882,746,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,746,704 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 882,746,704 . The biggest common factor number is the GCF number.
So the greatest common factor 882,746,704 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 77/882, 695/746, 732/704

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 77/882, 695/746, 732/704?

Answer: LCM of Numerators as per given numbers 77/882, 695/746, 732/704 is

LCM of Numerators i.e. for 77,695,732 is 39172980

GCF of denominators i.e. for 882,746,704 is 2.

Thus, LCM of Fractions is 19586490.Finally, LCM of Fractions for 77/882, 695/746, 732/704 is 19586490.