Least Common Multiple of 174/746, 6950/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/746, 6950/662 quickly i.e. 302325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/746, 6950/662 is 302325.

LCM(174/746, 6950/662) = 302325

LCM of 174/746, 6950/662

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 174/746,6950/662

Given numbers are 174/746,6950/662

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 174,6950

Least Common Multiple of Numerators i.e. LCM of 174,6950 is 604650.

GCF of Denominators means GCF of 746,662 as per the given fractions.

GCF of 746,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,6950

LCM of Fractions 174/746,6950/662 is 302325

2 174, 6950
87, 3475

∴ So the LCM of the given numbers is 2 x 87 x 3475 = 604650

Least Common Multiple of 174,6950 with GCF Formula

Least Common Multiple of 174,6950 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 174,6950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,6950) = 2

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

GCF(174,6950) x common factors =2 x 1 = 2

LCM(174,6950) = ( 174 × 6950 ) / 2

LCM(174,6950) = 1209300 / 2

LCM(174,6950) = 604650


Lets's calculate GCF of 746,662

2 746, 662
373, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 604650/2

Therefore the LCM of Fractions 174/746,6950/662 is 302325

Greatest Common Factor of 746,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,662 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 746,662 . The biggest common factor number is the GCF number.
So the greatest common factor 746,662 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 174/746, 6950/662

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 174/746, 6950/662?

Answer: LCM of Numerators as per given numbers 174/746, 6950/662 is

LCM of Numerators i.e. for 174,6950 is 604650

GCF of denominators i.e. for 746,662 is 2.

Thus, LCM of Fractions is 302325.Finally, LCM of Fractions for 174/746, 6950/662 is 302325.