Least Common Multiple of 426/65, 7002/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/65, 7002/172 quickly i.e. 497142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/65, 7002/172 is 497142.

LCM(426/65, 7002/172) = 497142

LCM of 426/65, 7002/172

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 426/65,7002/172

Given numbers are 426/65,7002/172

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 426,7002

Least Common Multiple of Numerators i.e. LCM of 426,7002 is 497142.

GCF of Denominators means GCF of 65,172 as per the given fractions.

GCF of 65,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,7002

LCM of Fractions 426/65,7002/172 is 497142

2 426, 7002
3 213, 3501
71, 1167

∴ So the LCM of the given numbers is 2 x 3 x 71 x 1167 = 497142

Least Common Multiple of 426,7002 with GCF Formula

Least Common Multiple of 426,7002 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 426,7002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,7002) = 6

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

GCF(426,7002) x common factors =6 x 1 = 6

LCM(426,7002) = ( 426 × 7002 ) / 6

LCM(426,7002) = 2982852 / 6

LCM(426,7002) = 497142


Lets's calculate GCF of 65,172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 497142/1

Therefore the LCM of Fractions 426/65,7002/172 is 497142

Greatest Common Factor of 65,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,172 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 65,172 . The biggest common factor number is the GCF number.
So the greatest common factor 65,172 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 426/65, 7002/172

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 426/65, 7002/172?

Answer: LCM of Numerators as per given numbers 426/65, 7002/172 is

LCM of Numerators i.e. for 426,7002 is 497142

GCF of denominators i.e. for 65,172 is 1.

Thus, LCM of Fractions is 497142.Finally, LCM of Fractions for 426/65, 7002/172 is 497142.