Least Common Multiple of 77/380, 29/126, 864/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/380, 29/126, 864/402 quickly i.e. 964656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/380, 29/126, 864/402 is 964656.

LCM(77/380, 29/126, 864/402) = 964656

LCM of 77/380, 29/126, 864/402

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 77/380,29/126,864/402

Given numbers are 77/380,29/126,864/402

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 77,29,864

Least Common Multiple of Numerators i.e. LCM of 77,29,864 is 1929312.

GCF of Denominators means GCF of 380,126,402 as per the given fractions.

GCF of 380,126,402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,29,864

LCM of Fractions 77/380,29/126,864/402 is 964656

Given numbers has no common factors except 1. So, there LCM is their product i.e 1929312

Least Common Multiple of 77,29,864 with GCF Formula

Least Common Multiple of 77,29,864 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 77,29,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,29,864) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(77,29,864) x common factors =1 x 1 = 1

LCM(77,29,864) = ( 77 × 29 × 864 ) / 1

LCM(77,29,864) = 1929312 / 1

LCM(77,29,864) = 1929312


Lets's calculate GCF of 380,126,402

2 380, 126, 402
190, 63, 201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1929312/2

Therefore the LCM of Fractions 77/380,29/126,864/402 is 964656

Greatest Common Factor of 380,126,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,126,402 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 380,126,402 . The biggest common factor number is the GCF number.
So the greatest common factor 380,126,402 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 77/380, 29/126, 864/402

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 77/380, 29/126, 864/402?

Answer: LCM of Numerators as per given numbers 77/380, 29/126, 864/402 is

LCM of Numerators i.e. for 77,29,864 is 1929312

GCF of denominators i.e. for 380,126,402 is 2.

Thus, LCM of Fractions is 964656.Finally, LCM of Fractions for 77/380, 29/126, 864/402 is 964656.