Least Common Multiple of 510/836, 952/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/836, 952/830 quickly i.e. 7140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/836, 952/830 is 7140.

LCM(510/836, 952/830) = 7140

LCM of 510/836, 952/830

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 510/836,952/830

Given numbers are 510/836,952/830

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 510,952

Least Common Multiple of Numerators i.e. LCM of 510,952 is 14280.

GCF of Denominators means GCF of 836,830 as per the given fractions.

GCF of 836,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,952

LCM of Fractions 510/836,952/830 is 7140

2 510, 952
17 255, 476
15, 28

∴ So the LCM of the given numbers is 2 x 17 x 15 x 28 = 14280

Least Common Multiple of 510,952 with GCF Formula

Least Common Multiple of 510,952 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 510,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,952) = 34

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

GCF(510,952) x common factors =34 x 1 = 34

LCM(510,952) = ( 510 × 952 ) / 34

LCM(510,952) = 485520 / 34

LCM(510,952) = 14280


Lets's calculate GCF of 836,830

2 836, 830
418, 415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14280/2

Therefore the LCM of Fractions 510/836,952/830 is 7140

Greatest Common Factor of 836,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,830 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 836,830 . The biggest common factor number is the GCF number.
So the greatest common factor 836,830 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 510/836, 952/830

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 510/836, 952/830?

Answer: LCM of Numerators as per given numbers 510/836, 952/830 is

LCM of Numerators i.e. for 510,952 is 14280

GCF of denominators i.e. for 836,830 is 2.

Thus, LCM of Fractions is 7140.Finally, LCM of Fractions for 510/836, 952/830 is 7140.