Least Common Multiple of 604/781, 453/789, 912/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 604/781, 453/789, 912/515 quickly i.e. 137712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 604/781, 453/789, 912/515 is 137712.

LCM(604/781, 453/789, 912/515) = 137712

LCM of 604/781, 453/789, 912/515

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 604/781,453/789,912/515

Given numbers are 604/781,453/789,912/515

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 604,453,912

Least Common Multiple of Numerators i.e. LCM of 604,453,912 is 137712.

GCF of Denominators means GCF of 781,789,515 as per the given fractions.

GCF of 781,789,515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 604,453,912

LCM of Fractions 604/781,453/789,912/515 is 137712

2 604, 453, 912
2 302, 453, 456
3 151, 453, 228
151 151, 151, 76
1, 1, 76

∴ So the LCM of the given numbers is 2 x 2 x 3 x 151 x 1 x 1 x 76 = 137712

Least Common Multiple of 604,453,912 with GCF Formula

Least Common Multiple of 604,453,912 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 604,453,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,453,912) = 1

common factors(in case of two or more numbers have common factors) = 1812

GCF(604,453,912) x common factors =1 x 1812 = 1812

LCM(604,453,912) = ( 604 × 453 × 912 ) / 1812

LCM(604,453,912) = 249534144 / 1812

LCM(604,453,912) = 137712


Lets's calculate GCF of 781,789,515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137712/1

Therefore the LCM of Fractions 604/781,453/789,912/515 is 137712

Greatest Common Factor of 781,789,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,789,515 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 781,789,515 . The biggest common factor number is the GCF number.
So the greatest common factor 781,789,515 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 604/781, 453/789, 912/515

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 604/781, 453/789, 912/515?

Answer: LCM of Numerators as per given numbers 604/781, 453/789, 912/515 is

LCM of Numerators i.e. for 604,453,912 is 137712

GCF of denominators i.e. for 781,789,515 is 1.

Thus, LCM of Fractions is 137712.Finally, LCM of Fractions for 604/781, 453/789, 912/515 is 137712.