Least Common Multiple of 920/349, 4608/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 920/349, 4608/150 quickly i.e. 529920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/349, 4608/150 is 529920.

LCM(920/349, 4608/150) = 529920

LCM of 920/349, 4608/150

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 920/349,4608/150

Given numbers are 920/349,4608/150

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 920,4608

Least Common Multiple of Numerators i.e. LCM of 920,4608 is 529920.

GCF of Denominators means GCF of 349,150 as per the given fractions.

GCF of 349,150 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,4608

LCM of Fractions 920/349,4608/150 is 529920

2 920, 4608
2 460, 2304
2 230, 1152
115, 576

∴ So the LCM of the given numbers is 2 x 2 x 2 x 115 x 576 = 529920

Least Common Multiple of 920,4608 with GCF Formula

Least Common Multiple of 920,4608 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 920,4608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,4608) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(920,4608) x common factors =8 x 1 = 8

LCM(920,4608) = ( 920 × 4608 ) / 8

LCM(920,4608) = 4239360 / 8

LCM(920,4608) = 529920


Lets's calculate GCF of 349,150

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 529920/1

Therefore the LCM of Fractions 920/349,4608/150 is 529920

Greatest Common Factor of 349,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,150 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 349,150 . The biggest common factor number is the GCF number.
So the greatest common factor 349,150 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 920/349, 4608/150

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 920/349, 4608/150?

Answer: LCM of Numerators as per given numbers 920/349, 4608/150 is

LCM of Numerators i.e. for 920,4608 is 529920

GCF of denominators i.e. for 349,150 is 1.

Thus, LCM of Fractions is 529920.Finally, LCM of Fractions for 920/349, 4608/150 is 529920.