Least Common Multiple of 77/342, 455/846, 567/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/342, 455/846, 567/685 quickly i.e. 405405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/342, 455/846, 567/685 is 405405.

LCM(77/342, 455/846, 567/685) = 405405

LCM of 77/342, 455/846, 567/685

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 77/342,455/846,567/685

Given numbers are 77/342,455/846,567/685

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 77,455,567

Least Common Multiple of Numerators i.e. LCM of 77,455,567 is 405405.

GCF of Denominators means GCF of 342,846,685 as per the given fractions.

GCF of 342,846,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,455,567

LCM of Fractions 77/342,455/846,567/685 is 405405

7 77, 455, 567
11, 65, 81

∴ So the LCM of the given numbers is 7 x 11 x 65 x 81 = 405405

Least Common Multiple of 77,455,567 with GCF Formula

Least Common Multiple of 77,455,567 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 77,455,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,455,567) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(77,455,567) x common factors =7 x 7 = 49

LCM(77,455,567) = ( 77 × 455 × 567 ) / 49

LCM(77,455,567) = 19864845 / 49

LCM(77,455,567) = 405405


Lets's calculate GCF of 342,846,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405405/1

Therefore the LCM of Fractions 77/342,455/846,567/685 is 405405

Greatest Common Factor of 342,846,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,846,685 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 342,846,685 . The biggest common factor number is the GCF number.
So the greatest common factor 342,846,685 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 77/342, 455/846, 567/685

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 77/342, 455/846, 567/685?

Answer: LCM of Numerators as per given numbers 77/342, 455/846, 567/685 is

LCM of Numerators i.e. for 77,455,567 is 405405

GCF of denominators i.e. for 342,846,685 is 1.

Thus, LCM of Fractions is 405405.Finally, LCM of Fractions for 77/342, 455/846, 567/685 is 405405.