Least Common Multiple of 7430/440, 2762/8528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7430/440, 2762/8528 quickly i.e. 10260830/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7430/440, 2762/8528 is 10260830/8.

LCM(7430/440, 2762/8528) = 10260830/8

LCM of 7430/440, 2762/8528

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 7430/440,2762/8528

Given numbers are 7430/440,2762/8528

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 7430,2762

Least Common Multiple of Numerators i.e. LCM of 7430,2762 is 10260830.

GCF of Denominators means GCF of 440,8528 as per the given fractions.

GCF of 440,8528 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7430,2762

LCM of Fractions 7430/440,2762/8528 is 10260830/8

2 7430, 2762
3715, 1381

∴ So the LCM of the given numbers is 2 x 3715 x 1381 = 10260830

Least Common Multiple of 7430,2762 with GCF Formula

Least Common Multiple of 7430,2762 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 7430,2762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7430,2762) = 2

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

GCF(7430,2762) x common factors =2 x 1 = 2

LCM(7430,2762) = ( 7430 × 2762 ) / 2

LCM(7430,2762) = 20521660 / 2

LCM(7430,2762) = 10260830


Lets's calculate GCF of 440,8528

2 440, 8528
2 220, 4264
2 110, 2132
55, 1066

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10260830/8

Therefore the LCM of Fractions 7430/440,2762/8528 is 10260830/8

Greatest Common Factor of 440,8528 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,8528 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 8528

List of positive integer factors of 8528 that divides 8528 without a remainder.

1,2,4,8,13,16,26,41,52,82,104,164,208,328,533,656,1066,2132,4264,8528

Greatest Common Factor

We found the factors 440,8528 . The biggest common factor number is the GCF number.
So the greatest common factor 440,8528 is 8.


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 7430/440, 2762/8528

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 7430/440, 2762/8528?

Answer: LCM of Numerators as per given numbers 7430/440, 2762/8528 is

LCM of Numerators i.e. for 7430,2762 is 10260830

GCF of denominators i.e. for 440,8528 is 8.

Thus, LCM of Fractions is 10260830/8.Finally, LCM of Fractions for 7430/440, 2762/8528 is 10260830/8.