Least Common Multiple of 77/380, 17/201, 952/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/380, 17/201, 952/794 quickly i.e. 10472 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, 17/201, 952/794 is 10472.

LCM(77/380, 17/201, 952/794) = 10472

LCM of 77/380, 17/201, 952/794

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 77/380,17/201,952/794

Given numbers are 77/380,17/201,952/794

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 77,17,952

Least Common Multiple of Numerators i.e. LCM of 77,17,952 is 10472.

GCF of Denominators means GCF of 380,201,794 as per the given fractions.

GCF of 380,201,794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,17,952

LCM of Fractions 77/380,17/201,952/794 is 10472

7 77, 17, 952
17 11, 17, 136
11, 1, 8

∴ So the LCM of the given numbers is 7 x 17 x 11 x 1 x 8 = 10472

Least Common Multiple of 77,17,952 with GCF Formula

Least Common Multiple of 77,17,952 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 77,17,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,17,952) = 1

common factors(in case of two or more numbers have common factors) = 119

GCF(77,17,952) x common factors =1 x 119 = 119

LCM(77,17,952) = ( 77 × 17 × 952 ) / 119

LCM(77,17,952) = 1246168 / 119

LCM(77,17,952) = 10472


Lets's calculate GCF of 380,201,794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10472/1

Therefore the LCM of Fractions 77/380,17/201,952/794 is 10472

Greatest Common Factor of 380,201,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,201,794 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 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 380,201,794 . The biggest common factor number is the GCF number.
So the greatest common factor 380,201,794 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 77/380, 17/201, 952/794

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, 17/201, 952/794?

Answer: LCM of Numerators as per given numbers 77/380, 17/201, 952/794 is

LCM of Numerators i.e. for 77,17,952 is 10472

GCF of denominators i.e. for 380,201,794 is 1.

Thus, LCM of Fractions is 10472.Finally, LCM of Fractions for 77/380, 17/201, 952/794 is 10472.