Least Common Multiple of 362/276, 457/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/276, 457/599 quickly i.e. 165434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/276, 457/599 is 165434.

LCM(362/276, 457/599) = 165434

LCM of 362/276, 457/599

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 362/276,457/599

Given numbers are 362/276,457/599

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 362,457

Least Common Multiple of Numerators i.e. LCM of 362,457 is 165434.

GCF of Denominators means GCF of 276,599 as per the given fractions.

GCF of 276,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,457

LCM of Fractions 362/276,457/599 is 165434

Given numbers has no common factors except 1. So, there LCM is their product i.e 165434

Least Common Multiple of 362,457 with GCF Formula

Least Common Multiple of 362,457 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 362,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,457) = 1

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

GCF(362,457) x common factors =1 x 1 = 1

LCM(362,457) = ( 362 × 457 ) / 1

LCM(362,457) = 165434 / 1

LCM(362,457) = 165434


Lets's calculate GCF of 276,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165434/1

Therefore the LCM of Fractions 362/276,457/599 is 165434

Greatest Common Factor of 276,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,599 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 276,599 . The biggest common factor number is the GCF number.
So the greatest common factor 276,599 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 362/276, 457/599

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 362/276, 457/599?

Answer: LCM of Numerators as per given numbers 362/276, 457/599 is

LCM of Numerators i.e. for 362,457 is 165434

GCF of denominators i.e. for 276,599 is 1.

Thus, LCM of Fractions is 165434.Finally, LCM of Fractions for 362/276, 457/599 is 165434.