Least Common Multiple of 616/462, 916/619, 772/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/462, 916/619, 772/503 quickly i.e. 27225352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/462, 916/619, 772/503 is 27225352.

LCM(616/462, 916/619, 772/503) = 27225352

LCM of 616/462, 916/619, 772/503

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 616/462,916/619,772/503

Given numbers are 616/462,916/619,772/503

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 616,916,772

Least Common Multiple of Numerators i.e. LCM of 616,916,772 is 27225352.

GCF of Denominators means GCF of 462,619,503 as per the given fractions.

GCF of 462,619,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,916,772

LCM of Fractions 616/462,916/619,772/503 is 27225352

2 616, 916, 772
2 308, 458, 386
154, 229, 193

∴ So the LCM of the given numbers is 2 x 2 x 154 x 229 x 193 = 27225352

Least Common Multiple of 616,916,772 with GCF Formula

Least Common Multiple of 616,916,772 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 616,916,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,916,772) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(616,916,772) x common factors =4 x 4 = 16

LCM(616,916,772) = ( 616 × 916 × 772 ) / 16

LCM(616,916,772) = 435605632 / 16

LCM(616,916,772) = 27225352


Lets's calculate GCF of 462,619,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27225352/1

Therefore the LCM of Fractions 616/462,916/619,772/503 is 27225352

Greatest Common Factor of 462,619,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,619,503 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 462,619,503 . The biggest common factor number is the GCF number.
So the greatest common factor 462,619,503 is 1.


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 616/462, 916/619, 772/503

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 616/462, 916/619, 772/503?

Answer: LCM of Numerators as per given numbers 616/462, 916/619, 772/503 is

LCM of Numerators i.e. for 616,916,772 is 27225352

GCF of denominators i.e. for 462,619,503 is 1.

Thus, LCM of Fractions is 27225352.Finally, LCM of Fractions for 616/462, 916/619, 772/503 is 27225352.