Least Common Multiple of 9328/304, 8480/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9328/304, 8480/954 quickly i.e. 46640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9328/304, 8480/954 is 46640.

LCM(9328/304, 8480/954) = 46640

LCM of 9328/304, 8480/954

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 9328/304,8480/954

Given numbers are 9328/304,8480/954

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 9328,8480

Least Common Multiple of Numerators i.e. LCM of 9328,8480 is 93280.

GCF of Denominators means GCF of 304,954 as per the given fractions.

GCF of 304,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9328,8480

LCM of Fractions 9328/304,8480/954 is 46640

2 9328, 8480
2 4664, 4240
2 2332, 2120
2 1166, 1060
53 583, 530
11, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 53 x 11 x 10 = 93280

Least Common Multiple of 9328,8480 with GCF Formula

Least Common Multiple of 9328,8480 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 9328,8480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9328,8480) = 848

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

GCF(9328,8480) x common factors =848 x 1 = 848

LCM(9328,8480) = ( 9328 × 8480 ) / 848

LCM(9328,8480) = 79101440 / 848

LCM(9328,8480) = 93280


Lets's calculate GCF of 304,954

2 304, 954
152, 477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93280/2

Therefore the LCM of Fractions 9328/304,8480/954 is 46640

Greatest Common Factor of 304,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,954 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 304,954 . The biggest common factor number is the GCF number.
So the greatest common factor 304,954 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9328/304, 8480/954

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 9328/304, 8480/954?

Answer: LCM of Numerators as per given numbers 9328/304, 8480/954 is

LCM of Numerators i.e. for 9328,8480 is 93280

GCF of denominators i.e. for 304,954 is 2.

Thus, LCM of Fractions is 46640.Finally, LCM of Fractions for 9328/304, 8480/954 is 46640.