Least Common Multiple of 770/168, 943/990, 518/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 770/168, 943/990, 518/612 quickly i.e. 26866070/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/168, 943/990, 518/612 is 26866070/6.

LCM(770/168, 943/990, 518/612) = 26866070/6

LCM of 770/168, 943/990, 518/612

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 770/168,943/990,518/612

Given numbers are 770/168,943/990,518/612

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 770,943,518

Least Common Multiple of Numerators i.e. LCM of 770,943,518 is 26866070.

GCF of Denominators means GCF of 168,990,612 as per the given fractions.

GCF of 168,990,612 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,943,518

LCM of Fractions 770/168,943/990,518/612 is 26866070/6

2 770, 943, 518
7 385, 943, 259
55, 943, 37

∴ So the LCM of the given numbers is 2 x 7 x 55 x 943 x 37 = 26866070

Least Common Multiple of 770,943,518 with GCF Formula

Least Common Multiple of 770,943,518 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 770,943,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,943,518) = 1

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

GCF(770,943,518) x common factors =1 x 14 = 14

LCM(770,943,518) = ( 770 × 943 × 518 ) / 14

LCM(770,943,518) = 376124980 / 14

LCM(770,943,518) = 26866070


Lets's calculate GCF of 168,990,612

2 168, 990, 612
3 84, 495, 306
28, 165, 102

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26866070/6

Therefore the LCM of Fractions 770/168,943/990,518/612 is 26866070/6

Greatest Common Factor of 168,990,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,990,612 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 168,990,612 . The biggest common factor number is the GCF number.
So the greatest common factor 168,990,612 is 6.


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 770/168, 943/990, 518/612

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 770/168, 943/990, 518/612?

Answer: LCM of Numerators as per given numbers 770/168, 943/990, 518/612 is

LCM of Numerators i.e. for 770,943,518 is 26866070

GCF of denominators i.e. for 168,990,612 is 6.

Thus, LCM of Fractions is 26866070/6.Finally, LCM of Fractions for 770/168, 943/990, 518/612 is 26866070/6.