Least Common Multiple of 607/74, 415/52, 280/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 607/74, 415/52, 280/264 quickly i.e. 7053340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 607/74, 415/52, 280/264 is 7053340.

LCM(607/74, 415/52, 280/264) = 7053340

LCM of 607/74, 415/52, 280/264

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 607/74,415/52,280/264

Given numbers are 607/74,415/52,280/264

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 607,415,280

Least Common Multiple of Numerators i.e. LCM of 607,415,280 is 14106680.

GCF of Denominators means GCF of 74,52,264 as per the given fractions.

GCF of 74,52,264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 607,415,280

LCM of Fractions 607/74,415/52,280/264 is 7053340

5 607, 415, 280
607, 83, 56

∴ So the LCM of the given numbers is 5 x 607 x 83 x 56 = 14106680

Least Common Multiple of 607,415,280 with GCF Formula

Least Common Multiple of 607,415,280 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 607,415,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,415,280) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(607,415,280) x common factors =1 x 5 = 5

LCM(607,415,280) = ( 607 × 415 × 280 ) / 5

LCM(607,415,280) = 70533400 / 5

LCM(607,415,280) = 14106680


Lets's calculate GCF of 74,52,264

2 74, 52, 264
37, 26, 132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14106680/2

Therefore the LCM of Fractions 607/74,415/52,280/264 is 7053340

Greatest Common Factor of 74,52,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,52,264 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 74,52,264 . The biggest common factor number is the GCF number.
So the greatest common factor 74,52,264 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 607/74, 415/52, 280/264

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 607/74, 415/52, 280/264?

Answer: LCM of Numerators as per given numbers 607/74, 415/52, 280/264 is

LCM of Numerators i.e. for 607,415,280 is 14106680

GCF of denominators i.e. for 74,52,264 is 2.

Thus, LCM of Fractions is 7053340.Finally, LCM of Fractions for 607/74, 415/52, 280/264 is 7053340.