Least Common Multiple of 69/156, 780/16, 642/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/156, 780/16, 642/470 quickly i.e. 959790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/156, 780/16, 642/470 is 959790.

LCM(69/156, 780/16, 642/470) = 959790

LCM of 69/156, 780/16, 642/470

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 69/156,780/16,642/470

Given numbers are 69/156,780/16,642/470

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 69,780,642

Least Common Multiple of Numerators i.e. LCM of 69,780,642 is 1919580.

GCF of Denominators means GCF of 156,16,470 as per the given fractions.

GCF of 156,16,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,780,642

LCM of Fractions 69/156,780/16,642/470 is 959790

2 69, 780, 642
3 69, 390, 321
23, 130, 107

∴ So the LCM of the given numbers is 2 x 3 x 23 x 130 x 107 = 1919580

Least Common Multiple of 69,780,642 with GCF Formula

Least Common Multiple of 69,780,642 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 69,780,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,780,642) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(69,780,642) x common factors =3 x 6 = 18

LCM(69,780,642) = ( 69 × 780 × 642 ) / 18

LCM(69,780,642) = 34552440 / 18

LCM(69,780,642) = 1919580


Lets's calculate GCF of 156,16,470

2 156, 16, 470
78, 8, 235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1919580/2

Therefore the LCM of Fractions 69/156,780/16,642/470 is 959790

Greatest Common Factor of 156,16,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,16,470 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 156,16,470 . The biggest common factor number is the GCF number.
So the greatest common factor 156,16,470 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 69/156, 780/16, 642/470

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 69/156, 780/16, 642/470?

Answer: LCM of Numerators as per given numbers 69/156, 780/16, 642/470 is

LCM of Numerators i.e. for 69,780,642 is 1919580

GCF of denominators i.e. for 156,16,470 is 2.

Thus, LCM of Fractions is 959790.Finally, LCM of Fractions for 69/156, 780/16, 642/470 is 959790.