Least Common Multiple of 352/92, 950/82, 649/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/92, 950/82, 649/48 quickly i.e. 4932400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/92, 950/82, 649/48 is 4932400.

LCM(352/92, 950/82, 649/48) = 4932400

LCM of 352/92, 950/82, 649/48

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 352/92,950/82,649/48

Given numbers are 352/92,950/82,649/48

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 352,950,649

Least Common Multiple of Numerators i.e. LCM of 352,950,649 is 9864800.

GCF of Denominators means GCF of 92,82,48 as per the given fractions.

GCF of 92,82,48 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,950,649

LCM of Fractions 352/92,950/82,649/48 is 4932400

2 352, 950, 649
11 176, 475, 649
16, 475, 59

∴ So the LCM of the given numbers is 2 x 11 x 16 x 475 x 59 = 9864800

Least Common Multiple of 352,950,649 with GCF Formula

Least Common Multiple of 352,950,649 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 352,950,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,950,649) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(352,950,649) x common factors =1 x 22 = 22

LCM(352,950,649) = ( 352 × 950 × 649 ) / 22

LCM(352,950,649) = 217025600 / 22

LCM(352,950,649) = 9864800


Lets's calculate GCF of 92,82,48

2 92, 82, 48
46, 41, 24

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9864800/2

Therefore the LCM of Fractions 352/92,950/82,649/48 is 4932400

Greatest Common Factor of 92,82,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,82,48 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Greatest Common Factor

We found the factors 92,82,48 . The biggest common factor number is the GCF number.
So the greatest common factor 92,82,48 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 352/92, 950/82, 649/48

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 352/92, 950/82, 649/48?

Answer: LCM of Numerators as per given numbers 352/92, 950/82, 649/48 is

LCM of Numerators i.e. for 352,950,649 is 9864800

GCF of denominators i.e. for 92,82,48 is 2.

Thus, LCM of Fractions is 4932400.Finally, LCM of Fractions for 352/92, 950/82, 649/48 is 4932400.