Least Common Multiple of 1451/607, 3413/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1451/607, 3413/742 quickly i.e. 4952263 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1451/607, 3413/742 is 4952263.

LCM(1451/607, 3413/742) = 4952263

LCM of 1451/607, 3413/742

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 1451/607,3413/742

Given numbers are 1451/607,3413/742

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 1451,3413

Least Common Multiple of Numerators i.e. LCM of 1451,3413 is 4952263.

GCF of Denominators means GCF of 607,742 as per the given fractions.

GCF of 607,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1451,3413

LCM of Fractions 1451/607,3413/742 is 4952263

Given numbers has no common factors except 1. So, there LCM is their product i.e 4952263

Least Common Multiple of 1451,3413 with GCF Formula

Least Common Multiple of 1451,3413 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 1451,3413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1451,3413) = 1

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

GCF(1451,3413) x common factors =1 x 1 = 1

LCM(1451,3413) = ( 1451 × 3413 ) / 1

LCM(1451,3413) = 4952263 / 1

LCM(1451,3413) = 4952263


Lets's calculate GCF of 607,742

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4952263/1

Therefore the LCM of Fractions 1451/607,3413/742 is 4952263

Greatest Common Factor of 607,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 607,742 By Matching Biggest Common Factor Method

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 607,742 . The biggest common factor number is the GCF number.
So the greatest common factor 607,742 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1451/607, 3413/742

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 1451/607, 3413/742?

Answer: LCM of Numerators as per given numbers 1451/607, 3413/742 is

LCM of Numerators i.e. for 1451,3413 is 4952263

GCF of denominators i.e. for 607,742 is 1.

Thus, LCM of Fractions is 4952263.Finally, LCM of Fractions for 1451/607, 3413/742 is 4952263.