Least Common Multiple of 9351/267, 1251/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9351/267, 1251/402 quickly i.e. 433263 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9351/267, 1251/402 is 433263.

LCM(9351/267, 1251/402) = 433263

LCM of 9351/267, 1251/402

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 9351/267,1251/402

Given numbers are 9351/267,1251/402

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 9351,1251

Least Common Multiple of Numerators i.e. LCM of 9351,1251 is 1299789.

GCF of Denominators means GCF of 267,402 as per the given fractions.

GCF of 267,402 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9351,1251

LCM of Fractions 9351/267,1251/402 is 433263

3 9351, 1251
3 3117, 417
1039, 139

∴ So the LCM of the given numbers is 3 x 3 x 1039 x 139 = 1299789

Least Common Multiple of 9351,1251 with GCF Formula

Least Common Multiple of 9351,1251 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 9351,1251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9351,1251) = 9

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

GCF(9351,1251) x common factors =9 x 1 = 9

LCM(9351,1251) = ( 9351 × 1251 ) / 9

LCM(9351,1251) = 11698101 / 9

LCM(9351,1251) = 1299789


Lets's calculate GCF of 267,402

3 267, 402
89, 134

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1299789/3

Therefore the LCM of Fractions 9351/267,1251/402 is 433263

Greatest Common Factor of 267,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,402 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 267,402 . The biggest common factor number is the GCF number.
So the greatest common factor 267,402 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9351/267, 1251/402

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 9351/267, 1251/402?

Answer: LCM of Numerators as per given numbers 9351/267, 1251/402 is

LCM of Numerators i.e. for 9351,1251 is 1299789

GCF of denominators i.e. for 267,402 is 3.

Thus, LCM of Fractions is 433263.Finally, LCM of Fractions for 9351/267, 1251/402 is 433263.