Least Common Multiple of 692/504, 9267/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 692/504, 9267/126 quickly i.e. 6412764/126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 692/504, 9267/126 is 6412764/126.

LCM(692/504, 9267/126) = 6412764/126

LCM of 692/504, 9267/126

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 692/504,9267/126

Given numbers are 692/504,9267/126

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 692,9267

Least Common Multiple of Numerators i.e. LCM of 692,9267 is 6412764.

GCF of Denominators means GCF of 504,126 as per the given fractions.

GCF of 504,126 is 126 as it is the largest common factor for these numbers.

Lets's calculate LCM of 692,9267

LCM of Fractions 692/504,9267/126 is 6412764/126

Given numbers has no common factors except 1. So, there LCM is their product i.e 6412764

Least Common Multiple of 692,9267 with GCF Formula

Least Common Multiple of 692,9267 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 692,9267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,9267) = 1

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

GCF(692,9267) x common factors =1 x 1 = 1

LCM(692,9267) = ( 692 × 9267 ) / 1

LCM(692,9267) = 6412764 / 1

LCM(692,9267) = 6412764


Lets's calculate GCF of 504,126

2 504, 126
3 252, 63
3 84, 21
7 28, 7
4, 1

∴ So the GCF of the given numbers is 2 x 3 x 3 x 7 = 126

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6412764/126

Therefore the LCM of Fractions 692/504,9267/126 is 6412764/126

Greatest Common Factor of 504,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,126 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 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 504,126 . The biggest common factor number is the GCF number.
So the greatest common factor 504,126 is 126.


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 692/504, 9267/126

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 692/504, 9267/126?

Answer: LCM of Numerators as per given numbers 692/504, 9267/126 is

LCM of Numerators i.e. for 692,9267 is 6412764

GCF of denominators i.e. for 504,126 is 126.

Thus, LCM of Fractions is 6412764/126.Finally, LCM of Fractions for 692/504, 9267/126 is 6412764/126.