Least Common Multiple of 67/994, 322/812, 402/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/994, 322/812, 402/297 quickly i.e. 64722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/994, 322/812, 402/297 is 64722.

LCM(67/994, 322/812, 402/297) = 64722

LCM of 67/994, 322/812, 402/297

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 67/994,322/812,402/297

Given numbers are 67/994,322/812,402/297

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 67,322,402

Least Common Multiple of Numerators i.e. LCM of 67,322,402 is 64722.

GCF of Denominators means GCF of 994,812,297 as per the given fractions.

GCF of 994,812,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,322,402

LCM of Fractions 67/994,322/812,402/297 is 64722

2 67, 322, 402
67 67, 161, 201
1, 161, 3

∴ So the LCM of the given numbers is 2 x 67 x 1 x 161 x 3 = 64722

Least Common Multiple of 67,322,402 with GCF Formula

Least Common Multiple of 67,322,402 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 67,322,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,322,402) = 1

common factors(in case of two or more numbers have common factors) = 134

GCF(67,322,402) x common factors =1 x 134 = 134

LCM(67,322,402) = ( 67 × 322 × 402 ) / 134

LCM(67,322,402) = 8672748 / 134

LCM(67,322,402) = 64722


Lets's calculate GCF of 994,812,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64722/1

Therefore the LCM of Fractions 67/994,322/812,402/297 is 64722

Greatest Common Factor of 994,812,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,812,297 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 994,812,297 . The biggest common factor number is the GCF number.
So the greatest common factor 994,812,297 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 67/994, 322/812, 402/297

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 67/994, 322/812, 402/297?

Answer: LCM of Numerators as per given numbers 67/994, 322/812, 402/297 is

LCM of Numerators i.e. for 67,322,402 is 64722

GCF of denominators i.e. for 994,812,297 is 1.

Thus, LCM of Fractions is 64722.Finally, LCM of Fractions for 67/994, 322/812, 402/297 is 64722.