Least Common Multiple of 92/352, 46/974, 708/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/352, 46/974, 708/704 quickly i.e. 8142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/352, 46/974, 708/704 is 8142.

LCM(92/352, 46/974, 708/704) = 8142

LCM of 92/352, 46/974, 708/704

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 92/352,46/974,708/704

Given numbers are 92/352,46/974,708/704

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 92,46,708

Least Common Multiple of Numerators i.e. LCM of 92,46,708 is 16284.

GCF of Denominators means GCF of 352,974,704 as per the given fractions.

GCF of 352,974,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,46,708

LCM of Fractions 92/352,46/974,708/704 is 8142

2 92, 46, 708
2 46, 23, 354
23 23, 23, 177
1, 1, 177

∴ So the LCM of the given numbers is 2 x 2 x 23 x 1 x 1 x 177 = 16284

Least Common Multiple of 92,46,708 with GCF Formula

Least Common Multiple of 92,46,708 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 92,46,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,46,708) = 2

common factors(in case of two or more numbers have common factors) = 92

GCF(92,46,708) x common factors =2 x 92 = 184

LCM(92,46,708) = ( 92 × 46 × 708 ) / 184

LCM(92,46,708) = 2996256 / 184

LCM(92,46,708) = 16284


Lets's calculate GCF of 352,974,704

2 352, 974, 704
176, 487, 352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16284/2

Therefore the LCM of Fractions 92/352,46/974,708/704 is 8142

Greatest Common Factor of 352,974,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,974,704 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 352,974,704 . The biggest common factor number is the GCF number.
So the greatest common factor 352,974,704 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 92/352, 46/974, 708/704

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 92/352, 46/974, 708/704?

Answer: LCM of Numerators as per given numbers 92/352, 46/974, 708/704 is

LCM of Numerators i.e. for 92,46,708 is 16284

GCF of denominators i.e. for 352,974,704 is 2.

Thus, LCM of Fractions is 8142.Finally, LCM of Fractions for 92/352, 46/974, 708/704 is 8142.