Least Common Multiple of 76/35, 19/70, 308/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/35, 19/70, 308/383 quickly i.e. 5852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/35, 19/70, 308/383 is 5852.

LCM(76/35, 19/70, 308/383) = 5852

LCM of 76/35, 19/70, 308/383

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 76/35,19/70,308/383

Given numbers are 76/35,19/70,308/383

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 76,19,308

Least Common Multiple of Numerators i.e. LCM of 76,19,308 is 5852.

GCF of Denominators means GCF of 35,70,383 as per the given fractions.

GCF of 35,70,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,19,308

LCM of Fractions 76/35,19/70,308/383 is 5852

2 76, 19, 308
2 38, 19, 154
19 19, 19, 77
1, 1, 77

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 1 x 77 = 5852

Least Common Multiple of 76,19,308 with GCF Formula

Least Common Multiple of 76,19,308 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 76,19,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,19,308) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(76,19,308) x common factors =1 x 76 = 76

LCM(76,19,308) = ( 76 × 19 × 308 ) / 76

LCM(76,19,308) = 444752 / 76

LCM(76,19,308) = 5852


Lets's calculate GCF of 35,70,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5852/1

Therefore the LCM of Fractions 76/35,19/70,308/383 is 5852

Greatest Common Factor of 35,70,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,70,383 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 35,70,383 . The biggest common factor number is the GCF number.
So the greatest common factor 35,70,383 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 76/35, 19/70, 308/383

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 76/35, 19/70, 308/383?

Answer: LCM of Numerators as per given numbers 76/35, 19/70, 308/383 is

LCM of Numerators i.e. for 76,19,308 is 5852

GCF of denominators i.e. for 35,70,383 is 1.

Thus, LCM of Fractions is 5852.Finally, LCM of Fractions for 76/35, 19/70, 308/383 is 5852.