Least Common Multiple of 34/51, 480/75, 762/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/51, 480/75, 762/403 quickly i.e. 1036320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/51, 480/75, 762/403 is 1036320.

LCM(34/51, 480/75, 762/403) = 1036320

LCM of 34/51, 480/75, 762/403

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 34/51,480/75,762/403

Given numbers are 34/51,480/75,762/403

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 34,480,762

Least Common Multiple of Numerators i.e. LCM of 34,480,762 is 1036320.

GCF of Denominators means GCF of 51,75,403 as per the given fractions.

GCF of 51,75,403 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,480,762

LCM of Fractions 34/51,480/75,762/403 is 1036320

2 34, 480, 762
3 17, 240, 381
17, 80, 127

∴ So the LCM of the given numbers is 2 x 3 x 17 x 80 x 127 = 1036320

Least Common Multiple of 34,480,762 with GCF Formula

Least Common Multiple of 34,480,762 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 34,480,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,480,762) = 2

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

GCF(34,480,762) x common factors =2 x 6 = 12

LCM(34,480,762) = ( 34 × 480 × 762 ) / 12

LCM(34,480,762) = 12435840 / 12

LCM(34,480,762) = 1036320


Lets's calculate GCF of 51,75,403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1036320/1

Therefore the LCM of Fractions 34/51,480/75,762/403 is 1036320

Greatest Common Factor of 51,75,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,75,403 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 51,75,403 . The biggest common factor number is the GCF number.
So the greatest common factor 51,75,403 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 34/51, 480/75, 762/403

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 34/51, 480/75, 762/403?

Answer: LCM of Numerators as per given numbers 34/51, 480/75, 762/403 is

LCM of Numerators i.e. for 34,480,762 is 1036320

GCF of denominators i.e. for 51,75,403 is 1.

Thus, LCM of Fractions is 1036320.Finally, LCM of Fractions for 34/51, 480/75, 762/403 is 1036320.