Least Common Multiple of 168/70, 630/97, 792/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/70, 630/97, 792/693 quickly i.e. 27720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/70, 630/97, 792/693 is 27720.

LCM(168/70, 630/97, 792/693) = 27720

LCM of 168/70, 630/97, 792/693

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 168/70,630/97,792/693

Given numbers are 168/70,630/97,792/693

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 168,630,792

Least Common Multiple of Numerators i.e. LCM of 168,630,792 is 27720.

GCF of Denominators means GCF of 70,97,693 as per the given fractions.

GCF of 70,97,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,630,792

LCM of Fractions 168/70,630/97,792/693 is 27720

2 168, 630, 792
2 84, 315, 396
2 42, 315, 198
3 21, 315, 99
3 7, 105, 33
7 7, 35, 11
1, 5, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 1 x 5 x 11 = 27720

Least Common Multiple of 168,630,792 with GCF Formula

Least Common Multiple of 168,630,792 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 168,630,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,630,792) = 6

common factors(in case of two or more numbers have common factors) = 504

GCF(168,630,792) x common factors =6 x 504 = 3024

LCM(168,630,792) = ( 168 × 630 × 792 ) / 3024

LCM(168,630,792) = 83825280 / 3024

LCM(168,630,792) = 27720


Lets's calculate GCF of 70,97,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27720/1

Therefore the LCM of Fractions 168/70,630/97,792/693 is 27720

Greatest Common Factor of 70,97,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,97,693 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 70,97,693 . The biggest common factor number is the GCF number.
So the greatest common factor 70,97,693 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 168/70, 630/97, 792/693

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 168/70, 630/97, 792/693?

Answer: LCM of Numerators as per given numbers 168/70, 630/97, 792/693 is

LCM of Numerators i.e. for 168,630,792 is 27720

GCF of denominators i.e. for 70,97,693 is 1.

Thus, LCM of Fractions is 27720.Finally, LCM of Fractions for 168/70, 630/97, 792/693 is 27720.