Least Common Multiple of 922/852, 663/974, 272/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 922/852, 663/974, 272/184 quickly i.e. 2445144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/852, 663/974, 272/184 is 2445144.

LCM(922/852, 663/974, 272/184) = 2445144

LCM of 922/852, 663/974, 272/184

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 922/852,663/974,272/184

Given numbers are 922/852,663/974,272/184

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 922,663,272

Least Common Multiple of Numerators i.e. LCM of 922,663,272 is 4890288.

GCF of Denominators means GCF of 852,974,184 as per the given fractions.

GCF of 852,974,184 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,663,272

LCM of Fractions 922/852,663/974,272/184 is 2445144

2 922, 663, 272
17 461, 663, 136
461, 39, 8

∴ So the LCM of the given numbers is 2 x 17 x 461 x 39 x 8 = 4890288

Least Common Multiple of 922,663,272 with GCF Formula

Least Common Multiple of 922,663,272 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 922,663,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,663,272) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(922,663,272) x common factors =1 x 34 = 34

LCM(922,663,272) = ( 922 × 663 × 272 ) / 34

LCM(922,663,272) = 166269792 / 34

LCM(922,663,272) = 4890288


Lets's calculate GCF of 852,974,184

2 852, 974, 184
426, 487, 92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4890288/2

Therefore the LCM of Fractions 922/852,663/974,272/184 is 2445144

Greatest Common Factor of 852,974,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,974,184 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 974

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

1,2,487,974

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 852,974,184 . The biggest common factor number is the GCF number.
So the greatest common factor 852,974,184 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 922/852, 663/974, 272/184

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 922/852, 663/974, 272/184?

Answer: LCM of Numerators as per given numbers 922/852, 663/974, 272/184 is

LCM of Numerators i.e. for 922,663,272 is 4890288

GCF of denominators i.e. for 852,974,184 is 2.

Thus, LCM of Fractions is 2445144.Finally, LCM of Fractions for 922/852, 663/974, 272/184 is 2445144.