Least Common Multiple of 77/703, 658/735, 784/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/703, 658/735, 784/736 quickly i.e. 405328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/703, 658/735, 784/736 is 405328.

LCM(77/703, 658/735, 784/736) = 405328

LCM of 77/703, 658/735, 784/736

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 77/703,658/735,784/736

Given numbers are 77/703,658/735,784/736

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 77,658,784

Least Common Multiple of Numerators i.e. LCM of 77,658,784 is 405328.

GCF of Denominators means GCF of 703,735,736 as per the given fractions.

GCF of 703,735,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,658,784

LCM of Fractions 77/703,658/735,784/736 is 405328

2 77, 658, 784
7 77, 329, 392
11, 47, 56

∴ So the LCM of the given numbers is 2 x 7 x 11 x 47 x 56 = 405328

Least Common Multiple of 77,658,784 with GCF Formula

Least Common Multiple of 77,658,784 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 77,658,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,658,784) = 7

common factors(in case of two or more numbers have common factors) = 14

GCF(77,658,784) x common factors =7 x 14 = 98

LCM(77,658,784) = ( 77 × 658 × 784 ) / 98

LCM(77,658,784) = 39722144 / 98

LCM(77,658,784) = 405328


Lets's calculate GCF of 703,735,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405328/1

Therefore the LCM of Fractions 77/703,658/735,784/736 is 405328

Greatest Common Factor of 703,735,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,735,736 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 703,735,736 . The biggest common factor number is the GCF number.
So the greatest common factor 703,735,736 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 77/703, 658/735, 784/736

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 77/703, 658/735, 784/736?

Answer: LCM of Numerators as per given numbers 77/703, 658/735, 784/736 is

LCM of Numerators i.e. for 77,658,784 is 405328

GCF of denominators i.e. for 703,735,736 is 1.

Thus, LCM of Fractions is 405328.Finally, LCM of Fractions for 77/703, 658/735, 784/736 is 405328.