Least Common Multiple of 7460/362, 6915/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7460/362, 6915/850 quickly i.e. 5158590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7460/362, 6915/850 is 5158590.

LCM(7460/362, 6915/850) = 5158590

LCM of 7460/362, 6915/850

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 7460/362,6915/850

Given numbers are 7460/362,6915/850

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 7460,6915

Least Common Multiple of Numerators i.e. LCM of 7460,6915 is 10317180.

GCF of Denominators means GCF of 362,850 as per the given fractions.

GCF of 362,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7460,6915

LCM of Fractions 7460/362,6915/850 is 5158590

5 7460, 6915
1492, 1383

∴ So the LCM of the given numbers is 5 x 1492 x 1383 = 10317180

Least Common Multiple of 7460,6915 with GCF Formula

Least Common Multiple of 7460,6915 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 7460,6915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7460,6915) = 5

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

GCF(7460,6915) x common factors =5 x 1 = 5

LCM(7460,6915) = ( 7460 × 6915 ) / 5

LCM(7460,6915) = 51585900 / 5

LCM(7460,6915) = 10317180


Lets's calculate GCF of 362,850

2 362, 850
181, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10317180/2

Therefore the LCM of Fractions 7460/362,6915/850 is 5158590

Greatest Common Factor of 362,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,850 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 362,850 . The biggest common factor number is the GCF number.
So the greatest common factor 362,850 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 7460/362, 6915/850

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 7460/362, 6915/850?

Answer: LCM of Numerators as per given numbers 7460/362, 6915/850 is

LCM of Numerators i.e. for 7460,6915 is 10317180

GCF of denominators i.e. for 362,850 is 2.

Thus, LCM of Fractions is 5158590.Finally, LCM of Fractions for 7460/362, 6915/850 is 5158590.