Least Common Multiple of 73/757, 77/922, 874/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/757, 77/922, 874/144 quickly i.e. 4912754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/757, 77/922, 874/144 is 4912754.

LCM(73/757, 77/922, 874/144) = 4912754

LCM of 73/757, 77/922, 874/144

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 73/757,77/922,874/144

Given numbers are 73/757,77/922,874/144

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 73,77,874

Least Common Multiple of Numerators i.e. LCM of 73,77,874 is 4912754.

GCF of Denominators means GCF of 757,922,144 as per the given fractions.

GCF of 757,922,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,77,874

LCM of Fractions 73/757,77/922,874/144 is 4912754

Given numbers has no common factors except 1. So, there LCM is their product i.e 4912754

Least Common Multiple of 73,77,874 with GCF Formula

Least Common Multiple of 73,77,874 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 73,77,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,77,874) = 1

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

GCF(73,77,874) x common factors =1 x 1 = 1

LCM(73,77,874) = ( 73 × 77 × 874 ) / 1

LCM(73,77,874) = 4912754 / 1

LCM(73,77,874) = 4912754


Lets's calculate GCF of 757,922,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4912754/1

Therefore the LCM of Fractions 73/757,77/922,874/144 is 4912754

Greatest Common Factor of 757,922,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,922,144 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 757,922,144 . The biggest common factor number is the GCF number.
So the greatest common factor 757,922,144 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 73/757, 77/922, 874/144

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 73/757, 77/922, 874/144?

Answer: LCM of Numerators as per given numbers 73/757, 77/922, 874/144 is

LCM of Numerators i.e. for 73,77,874 is 4912754

GCF of denominators i.e. for 757,922,144 is 1.

Thus, LCM of Fractions is 4912754.Finally, LCM of Fractions for 73/757, 77/922, 874/144 is 4912754.