Least Common Multiple of 660/79, 762/97, 429/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/79, 762/97, 429/102 quickly i.e. 1089660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/79, 762/97, 429/102 is 1089660.

LCM(660/79, 762/97, 429/102) = 1089660

LCM of 660/79, 762/97, 429/102

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 660/79,762/97,429/102

Given numbers are 660/79,762/97,429/102

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 660,762,429

Least Common Multiple of Numerators i.e. LCM of 660,762,429 is 1089660.

GCF of Denominators means GCF of 79,97,102 as per the given fractions.

GCF of 79,97,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,762,429

LCM of Fractions 660/79,762/97,429/102 is 1089660

2 660, 762, 429
3 330, 381, 429
11 110, 127, 143
10, 127, 13

∴ So the LCM of the given numbers is 2 x 3 x 11 x 10 x 127 x 13 = 1089660

Least Common Multiple of 660,762,429 with GCF Formula

Least Common Multiple of 660,762,429 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 660,762,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,762,429) = 3

common factors(in case of two or more numbers have common factors) = 66

GCF(660,762,429) x common factors =3 x 66 = 198

LCM(660,762,429) = ( 660 × 762 × 429 ) / 198

LCM(660,762,429) = 215752680 / 198

LCM(660,762,429) = 1089660


Lets's calculate GCF of 79,97,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1089660/1

Therefore the LCM of Fractions 660/79,762/97,429/102 is 1089660

Greatest Common Factor of 79,97,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,97,102 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 97

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

1,97

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 79,97,102 . The biggest common factor number is the GCF number.
So the greatest common factor 79,97,102 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 660/79, 762/97, 429/102

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 660/79, 762/97, 429/102?

Answer: LCM of Numerators as per given numbers 660/79, 762/97, 429/102 is

LCM of Numerators i.e. for 660,762,429 is 1089660

GCF of denominators i.e. for 79,97,102 is 1.

Thus, LCM of Fractions is 1089660.Finally, LCM of Fractions for 660/79, 762/97, 429/102 is 1089660.