Least Common Multiple of 82/668, 888/782, 770/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/668, 888/782, 770/734 quickly i.e. 7008540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/668, 888/782, 770/734 is 7008540.

LCM(82/668, 888/782, 770/734) = 7008540

LCM of 82/668, 888/782, 770/734

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 82/668,888/782,770/734

Given numbers are 82/668,888/782,770/734

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 82,888,770

Least Common Multiple of Numerators i.e. LCM of 82,888,770 is 14017080.

GCF of Denominators means GCF of 668,782,734 as per the given fractions.

GCF of 668,782,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,888,770

LCM of Fractions 82/668,888/782,770/734 is 7008540

2 82, 888, 770
41, 444, 385

∴ So the LCM of the given numbers is 2 x 41 x 444 x 385 = 14017080

Least Common Multiple of 82,888,770 with GCF Formula

Least Common Multiple of 82,888,770 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 82,888,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,888,770) = 2

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

GCF(82,888,770) x common factors =2 x 2 = 4

LCM(82,888,770) = ( 82 × 888 × 770 ) / 4

LCM(82,888,770) = 56068320 / 4

LCM(82,888,770) = 14017080


Lets's calculate GCF of 668,782,734

2 668, 782, 734
334, 391, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14017080/2

Therefore the LCM of Fractions 82/668,888/782,770/734 is 7008540

Greatest Common Factor of 668,782,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,782,734 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 668,782,734 . The biggest common factor number is the GCF number.
So the greatest common factor 668,782,734 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 82/668, 888/782, 770/734

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 82/668, 888/782, 770/734?

Answer: LCM of Numerators as per given numbers 82/668, 888/782, 770/734 is

LCM of Numerators i.e. for 82,888,770 is 14017080

GCF of denominators i.e. for 668,782,734 is 2.

Thus, LCM of Fractions is 7008540.Finally, LCM of Fractions for 82/668, 888/782, 770/734 is 7008540.