Least Common Multiple of 796/677, 710/227, 207/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 796/677, 710/227, 207/642 quickly i.e. 58494060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 796/677, 710/227, 207/642 is 58494060.

LCM(796/677, 710/227, 207/642) = 58494060

LCM of 796/677, 710/227, 207/642

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 796/677,710/227,207/642

Given numbers are 796/677,710/227,207/642

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 796,710,207

Least Common Multiple of Numerators i.e. LCM of 796,710,207 is 58494060.

GCF of Denominators means GCF of 677,227,642 as per the given fractions.

GCF of 677,227,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 796,710,207

LCM of Fractions 796/677,710/227,207/642 is 58494060

2 796, 710, 207
398, 355, 207

∴ So the LCM of the given numbers is 2 x 398 x 355 x 207 = 58494060

Least Common Multiple of 796,710,207 with GCF Formula

Least Common Multiple of 796,710,207 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 796,710,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,710,207) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(796,710,207) x common factors =1 x 2 = 2

LCM(796,710,207) = ( 796 × 710 × 207 ) / 2

LCM(796,710,207) = 116988120 / 2

LCM(796,710,207) = 58494060


Lets's calculate GCF of 677,227,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58494060/1

Therefore the LCM of Fractions 796/677,710/227,207/642 is 58494060

Greatest Common Factor of 677,227,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,227,642 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 677,227,642 . The biggest common factor number is the GCF number.
So the greatest common factor 677,227,642 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 796/677, 710/227, 207/642

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 796/677, 710/227, 207/642?

Answer: LCM of Numerators as per given numbers 796/677, 710/227, 207/642 is

LCM of Numerators i.e. for 796,710,207 is 58494060

GCF of denominators i.e. for 677,227,642 is 1.

Thus, LCM of Fractions is 58494060.Finally, LCM of Fractions for 796/677, 710/227, 207/642 is 58494060.