Least Common Multiple of 1974/794, 7170/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1974/794, 7170/158 quickly i.e. 1179465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1974/794, 7170/158 is 1179465.

LCM(1974/794, 7170/158) = 1179465

LCM of 1974/794, 7170/158

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 1974/794,7170/158

Given numbers are 1974/794,7170/158

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 1974,7170

Least Common Multiple of Numerators i.e. LCM of 1974,7170 is 2358930.

GCF of Denominators means GCF of 794,158 as per the given fractions.

GCF of 794,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1974,7170

LCM of Fractions 1974/794,7170/158 is 1179465

2 1974, 7170
3 987, 3585
329, 1195

∴ So the LCM of the given numbers is 2 x 3 x 329 x 1195 = 2358930

Least Common Multiple of 1974,7170 with GCF Formula

Least Common Multiple of 1974,7170 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 1974,7170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1974,7170) = 6

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

GCF(1974,7170) x common factors =6 x 1 = 6

LCM(1974,7170) = ( 1974 × 7170 ) / 6

LCM(1974,7170) = 14153580 / 6

LCM(1974,7170) = 2358930


Lets's calculate GCF of 794,158

2 794, 158
397, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2358930/2

Therefore the LCM of Fractions 1974/794,7170/158 is 1179465

Greatest Common Factor of 794,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,158 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 794,158 . The biggest common factor number is the GCF number.
So the greatest common factor 794,158 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 1974/794, 7170/158

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 1974/794, 7170/158?

Answer: LCM of Numerators as per given numbers 1974/794, 7170/158 is

LCM of Numerators i.e. for 1974,7170 is 2358930

GCF of denominators i.e. for 794,158 is 2.

Thus, LCM of Fractions is 1179465.Finally, LCM of Fractions for 1974/794, 7170/158 is 1179465.