Least Common Multiple of 76/97, 96/67, 470/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/97, 96/67, 470/925 quickly i.e. 428640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/97, 96/67, 470/925 is 428640.

LCM(76/97, 96/67, 470/925) = 428640

LCM of 76/97, 96/67, 470/925

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 76/97,96/67,470/925

Given numbers are 76/97,96/67,470/925

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 76,96,470

Least Common Multiple of Numerators i.e. LCM of 76,96,470 is 428640.

GCF of Denominators means GCF of 97,67,925 as per the given fractions.

GCF of 97,67,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,96,470

LCM of Fractions 76/97,96/67,470/925 is 428640

2 76, 96, 470
2 38, 48, 235
19, 24, 235

∴ So the LCM of the given numbers is 2 x 2 x 19 x 24 x 235 = 428640

Least Common Multiple of 76,96,470 with GCF Formula

Least Common Multiple of 76,96,470 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 76,96,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,96,470) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(76,96,470) x common factors =2 x 4 = 8

LCM(76,96,470) = ( 76 × 96 × 470 ) / 8

LCM(76,96,470) = 3429120 / 8

LCM(76,96,470) = 428640


Lets's calculate GCF of 97,67,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428640/1

Therefore the LCM of Fractions 76/97,96/67,470/925 is 428640

Greatest Common Factor of 97,67,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,67,925 By Matching Biggest Common Factor Method

Factors of 97

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

1,97

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 97,67,925 . The biggest common factor number is the GCF number.
So the greatest common factor 97,67,925 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 76/97, 96/67, 470/925

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 76/97, 96/67, 470/925?

Answer: LCM of Numerators as per given numbers 76/97, 96/67, 470/925 is

LCM of Numerators i.e. for 76,96,470 is 428640

GCF of denominators i.e. for 97,67,925 is 1.

Thus, LCM of Fractions is 428640.Finally, LCM of Fractions for 76/97, 96/67, 470/925 is 428640.