Least Common Multiple of 503/964, 924/880, 906/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 503/964, 924/880, 906/956 quickly i.e. 17545143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 503/964, 924/880, 906/956 is 17545143.

LCM(503/964, 924/880, 906/956) = 17545143

LCM of 503/964, 924/880, 906/956

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 503/964,924/880,906/956

Given numbers are 503/964,924/880,906/956

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 503,924,906

Least Common Multiple of Numerators i.e. LCM of 503,924,906 is 70180572.

GCF of Denominators means GCF of 964,880,956 as per the given fractions.

GCF of 964,880,956 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 503,924,906

LCM of Fractions 503/964,924/880,906/956 is 17545143

2 503, 924, 906
3 503, 462, 453
503, 154, 151

∴ So the LCM of the given numbers is 2 x 3 x 503 x 154 x 151 = 70180572

Least Common Multiple of 503,924,906 with GCF Formula

Least Common Multiple of 503,924,906 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 503,924,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,924,906) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(503,924,906) x common factors =1 x 6 = 6

LCM(503,924,906) = ( 503 × 924 × 906 ) / 6

LCM(503,924,906) = 421083432 / 6

LCM(503,924,906) = 70180572


Lets's calculate GCF of 964,880,956

2 964, 880, 956
2 482, 440, 478
241, 220, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70180572/4

Therefore the LCM of Fractions 503/964,924/880,906/956 is 17545143

Greatest Common Factor of 964,880,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,880,956 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 964,880,956 . The biggest common factor number is the GCF number.
So the greatest common factor 964,880,956 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 503/964, 924/880, 906/956

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 503/964, 924/880, 906/956?

Answer: LCM of Numerators as per given numbers 503/964, 924/880, 906/956 is

LCM of Numerators i.e. for 503,924,906 is 70180572

GCF of denominators i.e. for 964,880,956 is 4.

Thus, LCM of Fractions is 17545143.Finally, LCM of Fractions for 503/964, 924/880, 906/956 is 17545143.