Least Common Multiple of 598/504, 9605/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 598/504, 9605/938 quickly i.e. 5743790/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 598/504, 9605/938 is 5743790/14.

LCM(598/504, 9605/938) = 5743790/14

LCM of 598/504, 9605/938

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 598/504,9605/938

Given numbers are 598/504,9605/938

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 598,9605

Least Common Multiple of Numerators i.e. LCM of 598,9605 is 5743790.

GCF of Denominators means GCF of 504,938 as per the given fractions.

GCF of 504,938 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 598,9605

LCM of Fractions 598/504,9605/938 is 5743790/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 5743790

Least Common Multiple of 598,9605 with GCF Formula

Least Common Multiple of 598,9605 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 598,9605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,9605) = 1

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

GCF(598,9605) x common factors =1 x 1 = 1

LCM(598,9605) = ( 598 × 9605 ) / 1

LCM(598,9605) = 5743790 / 1

LCM(598,9605) = 5743790


Lets's calculate GCF of 504,938

2 504, 938
7 252, 469
36, 67

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5743790/14

Therefore the LCM of Fractions 598/504,9605/938 is 5743790/14

Greatest Common Factor of 504,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,938 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 504,938 . The biggest common factor number is the GCF number.
So the greatest common factor 504,938 is 14.


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 598/504, 9605/938

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 598/504, 9605/938?

Answer: LCM of Numerators as per given numbers 598/504, 9605/938 is

LCM of Numerators i.e. for 598,9605 is 5743790

GCF of denominators i.e. for 504,938 is 14.

Thus, LCM of Fractions is 5743790/14.Finally, LCM of Fractions for 598/504, 9605/938 is 5743790/14.