Least Common Multiple of 969/77, 660/98, 456/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/77, 660/98, 456/129 quickly i.e. 426360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/77, 660/98, 456/129 is 426360.

LCM(969/77, 660/98, 456/129) = 426360

LCM of 969/77, 660/98, 456/129

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 969/77,660/98,456/129

Given numbers are 969/77,660/98,456/129

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 969,660,456

Least Common Multiple of Numerators i.e. LCM of 969,660,456 is 426360.

GCF of Denominators means GCF of 77,98,129 as per the given fractions.

GCF of 77,98,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,660,456

LCM of Fractions 969/77,660/98,456/129 is 426360

2 969, 660, 456
2 969, 330, 228
3 969, 165, 114
19 323, 55, 38
17, 55, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 17 x 55 x 2 = 426360

Least Common Multiple of 969,660,456 with GCF Formula

Least Common Multiple of 969,660,456 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 969,660,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,660,456) = 3

common factors(in case of two or more numbers have common factors) = 228

GCF(969,660,456) x common factors =3 x 228 = 684

LCM(969,660,456) = ( 969 × 660 × 456 ) / 684

LCM(969,660,456) = 291630240 / 684

LCM(969,660,456) = 426360


Lets's calculate GCF of 77,98,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426360/1

Therefore the LCM of Fractions 969/77,660/98,456/129 is 426360

Greatest Common Factor of 77,98,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,98,129 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 77,98,129 . The biggest common factor number is the GCF number.
So the greatest common factor 77,98,129 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 969/77, 660/98, 456/129

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 969/77, 660/98, 456/129?

Answer: LCM of Numerators as per given numbers 969/77, 660/98, 456/129 is

LCM of Numerators i.e. for 969,660,456 is 426360

GCF of denominators i.e. for 77,98,129 is 1.

Thus, LCM of Fractions is 426360.Finally, LCM of Fractions for 969/77, 660/98, 456/129 is 426360.