Least Common Multiple of 39/346, 752/662, 818/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/346, 752/662, 818/942 quickly i.e. 5997576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/346, 752/662, 818/942 is 5997576.

LCM(39/346, 752/662, 818/942) = 5997576

LCM of 39/346, 752/662, 818/942

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 39/346,752/662,818/942

Given numbers are 39/346,752/662,818/942

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 39,752,818

Least Common Multiple of Numerators i.e. LCM of 39,752,818 is 11995152.

GCF of Denominators means GCF of 346,662,942 as per the given fractions.

GCF of 346,662,942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,752,818

LCM of Fractions 39/346,752/662,818/942 is 5997576

2 39, 752, 818
39, 376, 409

∴ So the LCM of the given numbers is 2 x 39 x 376 x 409 = 11995152

Least Common Multiple of 39,752,818 with GCF Formula

Least Common Multiple of 39,752,818 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 39,752,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,752,818) = 1

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

GCF(39,752,818) x common factors =1 x 2 = 2

LCM(39,752,818) = ( 39 × 752 × 818 ) / 2

LCM(39,752,818) = 23990304 / 2

LCM(39,752,818) = 11995152


Lets's calculate GCF of 346,662,942

2 346, 662, 942
173, 331, 471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11995152/2

Therefore the LCM of Fractions 39/346,752/662,818/942 is 5997576

Greatest Common Factor of 346,662,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,662,942 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 346,662,942 . The biggest common factor number is the GCF number.
So the greatest common factor 346,662,942 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 39/346, 752/662, 818/942

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 39/346, 752/662, 818/942?

Answer: LCM of Numerators as per given numbers 39/346, 752/662, 818/942 is

LCM of Numerators i.e. for 39,752,818 is 11995152

GCF of denominators i.e. for 346,662,942 is 2.

Thus, LCM of Fractions is 5997576.Finally, LCM of Fractions for 39/346, 752/662, 818/942 is 5997576.