Least Common Multiple of 9510/128, 7604/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9510/128, 7604/924 quickly i.e. 9039255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9510/128, 7604/924 is 9039255.

LCM(9510/128, 7604/924) = 9039255

LCM of 9510/128, 7604/924

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 9510/128,7604/924

Given numbers are 9510/128,7604/924

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 9510,7604

Least Common Multiple of Numerators i.e. LCM of 9510,7604 is 36157020.

GCF of Denominators means GCF of 128,924 as per the given fractions.

GCF of 128,924 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9510,7604

LCM of Fractions 9510/128,7604/924 is 9039255

2 9510, 7604
4755, 3802

∴ So the LCM of the given numbers is 2 x 4755 x 3802 = 36157020

Least Common Multiple of 9510,7604 with GCF Formula

Least Common Multiple of 9510,7604 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 9510,7604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9510,7604) = 2

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

GCF(9510,7604) x common factors =2 x 1 = 2

LCM(9510,7604) = ( 9510 × 7604 ) / 2

LCM(9510,7604) = 72314040 / 2

LCM(9510,7604) = 36157020


Lets's calculate GCF of 128,924

2 128, 924
2 64, 462
32, 231

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36157020/4

Therefore the LCM of Fractions 9510/128,7604/924 is 9039255

Greatest Common Factor of 128,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,924 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

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 128,924 . The biggest common factor number is the GCF number.
So the greatest common factor 128,924 is 4.


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 9510/128, 7604/924

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 9510/128, 7604/924?

Answer: LCM of Numerators as per given numbers 9510/128, 7604/924 is

LCM of Numerators i.e. for 9510,7604 is 36157020

GCF of denominators i.e. for 128,924 is 4.

Thus, LCM of Fractions is 9039255.Finally, LCM of Fractions for 9510/128, 7604/924 is 9039255.