Least Common Multiple of 8970/374, 9234/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8970/374, 9234/526 quickly i.e. 6902415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8970/374, 9234/526 is 6902415.

LCM(8970/374, 9234/526) = 6902415

LCM of 8970/374, 9234/526

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 8970/374,9234/526

Given numbers are 8970/374,9234/526

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 8970,9234

Least Common Multiple of Numerators i.e. LCM of 8970,9234 is 13804830.

GCF of Denominators means GCF of 374,526 as per the given fractions.

GCF of 374,526 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8970,9234

LCM of Fractions 8970/374,9234/526 is 6902415

2 8970, 9234
3 4485, 4617
1495, 1539

∴ So the LCM of the given numbers is 2 x 3 x 1495 x 1539 = 13804830

Least Common Multiple of 8970,9234 with GCF Formula

Least Common Multiple of 8970,9234 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 8970,9234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8970,9234) = 6

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

GCF(8970,9234) x common factors =6 x 1 = 6

LCM(8970,9234) = ( 8970 × 9234 ) / 6

LCM(8970,9234) = 82828980 / 6

LCM(8970,9234) = 13804830


Lets's calculate GCF of 374,526

2 374, 526
187, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13804830/2

Therefore the LCM of Fractions 8970/374,9234/526 is 6902415

Greatest Common Factor of 374,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,526 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 374,526 . The biggest common factor number is the GCF number.
So the greatest common factor 374,526 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 8970/374, 9234/526

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 8970/374, 9234/526?

Answer: LCM of Numerators as per given numbers 8970/374, 9234/526 is

LCM of Numerators i.e. for 8970,9234 is 13804830

GCF of denominators i.e. for 374,526 is 2.

Thus, LCM of Fractions is 6902415.Finally, LCM of Fractions for 8970/374, 9234/526 is 6902415.