Least Common Multiple of 44/162, 497/278, 400/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/162, 497/278, 400/924 quickly i.e. 1093400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/162, 497/278, 400/924 is 1093400.

LCM(44/162, 497/278, 400/924) = 1093400

LCM of 44/162, 497/278, 400/924

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 44/162,497/278,400/924

Given numbers are 44/162,497/278,400/924

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 44,497,400

Least Common Multiple of Numerators i.e. LCM of 44,497,400 is 2186800.

GCF of Denominators means GCF of 162,278,924 as per the given fractions.

GCF of 162,278,924 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,497,400

LCM of Fractions 44/162,497/278,400/924 is 1093400

2 44, 497, 400
2 22, 497, 200
11, 497, 100

∴ So the LCM of the given numbers is 2 x 2 x 11 x 497 x 100 = 2186800

Least Common Multiple of 44,497,400 with GCF Formula

Least Common Multiple of 44,497,400 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 44,497,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,497,400) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,497,400) x common factors =1 x 4 = 4

LCM(44,497,400) = ( 44 × 497 × 400 ) / 4

LCM(44,497,400) = 8747200 / 4

LCM(44,497,400) = 2186800


Lets's calculate GCF of 162,278,924

2 162, 278, 924
81, 139, 462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2186800/2

Therefore the LCM of Fractions 44/162,497/278,400/924 is 1093400

Greatest Common Factor of 162,278,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,278,924 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 162,278,924 . The biggest common factor number is the GCF number.
So the greatest common factor 162,278,924 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 44/162, 497/278, 400/924

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 44/162, 497/278, 400/924?

Answer: LCM of Numerators as per given numbers 44/162, 497/278, 400/924 is

LCM of Numerators i.e. for 44,497,400 is 2186800

GCF of denominators i.e. for 162,278,924 is 2.

Thus, LCM of Fractions is 1093400.Finally, LCM of Fractions for 44/162, 497/278, 400/924 is 1093400.