Least Common Multiple of 164/770, 971/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/770, 971/996 quickly i.e. 79622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/770, 971/996 is 79622.

LCM(164/770, 971/996) = 79622

LCM of 164/770, 971/996

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 164/770,971/996

Given numbers are 164/770,971/996

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 164,971

Least Common Multiple of Numerators i.e. LCM of 164,971 is 159244.

GCF of Denominators means GCF of 770,996 as per the given fractions.

GCF of 770,996 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,971

LCM of Fractions 164/770,971/996 is 79622

Given numbers has no common factors except 1. So, there LCM is their product i.e 159244

Least Common Multiple of 164,971 with GCF Formula

Least Common Multiple of 164,971 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 164,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,971) = 1

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

GCF(164,971) x common factors =1 x 1 = 1

LCM(164,971) = ( 164 × 971 ) / 1

LCM(164,971) = 159244 / 1

LCM(164,971) = 159244


Lets's calculate GCF of 770,996

2 770, 996
385, 498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159244/2

Therefore the LCM of Fractions 164/770,971/996 is 79622

Greatest Common Factor of 770,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,996 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 770,996 . The biggest common factor number is the GCF number.
So the greatest common factor 770,996 is 2.


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 164/770, 971/996

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 164/770, 971/996?

Answer: LCM of Numerators as per given numbers 164/770, 971/996 is

LCM of Numerators i.e. for 164,971 is 159244

GCF of denominators i.e. for 770,996 is 2.

Thus, LCM of Fractions is 79622.Finally, LCM of Fractions for 164/770, 971/996 is 79622.