Least Common Multiple of 779/97, 369/17, 612/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 779/97, 369/17, 612/632 quickly i.e. 476748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 779/97, 369/17, 612/632 is 476748.

LCM(779/97, 369/17, 612/632) = 476748

LCM of 779/97, 369/17, 612/632

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 779/97,369/17,612/632

Given numbers are 779/97,369/17,612/632

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 779,369,612

Least Common Multiple of Numerators i.e. LCM of 779,369,612 is 476748.

GCF of Denominators means GCF of 97,17,632 as per the given fractions.

GCF of 97,17,632 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 779,369,612

LCM of Fractions 779/97,369/17,612/632 is 476748

3 779, 369, 612
3 779, 123, 204
41 779, 41, 68
19, 1, 68

∴ So the LCM of the given numbers is 3 x 3 x 41 x 19 x 1 x 68 = 476748

Least Common Multiple of 779,369,612 with GCF Formula

Least Common Multiple of 779,369,612 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 779,369,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,369,612) = 1

common factors(in case of two or more numbers have common factors) = 369

GCF(779,369,612) x common factors =1 x 369 = 369

LCM(779,369,612) = ( 779 × 369 × 612 ) / 369

LCM(779,369,612) = 175920012 / 369

LCM(779,369,612) = 476748


Lets's calculate GCF of 97,17,632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 476748/1

Therefore the LCM of Fractions 779/97,369/17,612/632 is 476748

Greatest Common Factor of 97,17,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,17,632 By Matching Biggest Common Factor Method

Factors of 97

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

1,97

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 97,17,632 . The biggest common factor number is the GCF number.
So the greatest common factor 97,17,632 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 779/97, 369/17, 612/632

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 779/97, 369/17, 612/632?

Answer: LCM of Numerators as per given numbers 779/97, 369/17, 612/632 is

LCM of Numerators i.e. for 779,369,612 is 476748

GCF of denominators i.e. for 97,17,632 is 1.

Thus, LCM of Fractions is 476748.Finally, LCM of Fractions for 779/97, 369/17, 612/632 is 476748.