Least Common Multiple of 530/796, 170/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/796, 170/762 quickly i.e. 4505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/796, 170/762 is 4505.

LCM(530/796, 170/762) = 4505

LCM of 530/796, 170/762

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 530/796,170/762

Given numbers are 530/796,170/762

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 530,170

Least Common Multiple of Numerators i.e. LCM of 530,170 is 9010.

GCF of Denominators means GCF of 796,762 as per the given fractions.

GCF of 796,762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,170

LCM of Fractions 530/796,170/762 is 4505

2 530, 170
5 265, 85
53, 17

∴ So the LCM of the given numbers is 2 x 5 x 53 x 17 = 9010

Least Common Multiple of 530,170 with GCF Formula

Least Common Multiple of 530,170 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 530,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,170) = 10

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

GCF(530,170) x common factors =10 x 1 = 10

LCM(530,170) = ( 530 × 170 ) / 10

LCM(530,170) = 90100 / 10

LCM(530,170) = 9010


Lets's calculate GCF of 796,762

2 796, 762
398, 381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9010/2

Therefore the LCM of Fractions 530/796,170/762 is 4505

Greatest Common Factor of 796,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,762 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 796,762 . The biggest common factor number is the GCF number.
So the greatest common factor 796,762 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 530/796, 170/762

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 530/796, 170/762?

Answer: LCM of Numerators as per given numbers 530/796, 170/762 is

LCM of Numerators i.e. for 530,170 is 9010

GCF of denominators i.e. for 796,762 is 2.

Thus, LCM of Fractions is 4505.Finally, LCM of Fractions for 530/796, 170/762 is 4505.