Least Common Multiple of 767/734, 880/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 767/734, 880/358 quickly i.e. 337480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/734, 880/358 is 337480.

LCM(767/734, 880/358) = 337480

LCM of 767/734, 880/358

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 767/734,880/358

Given numbers are 767/734,880/358

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 767,880

Least Common Multiple of Numerators i.e. LCM of 767,880 is 674960.

GCF of Denominators means GCF of 734,358 as per the given fractions.

GCF of 734,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,880

LCM of Fractions 767/734,880/358 is 337480

Given numbers has no common factors except 1. So, there LCM is their product i.e 674960

Least Common Multiple of 767,880 with GCF Formula

Least Common Multiple of 767,880 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 767,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,880) = 1

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

GCF(767,880) x common factors =1 x 1 = 1

LCM(767,880) = ( 767 × 880 ) / 1

LCM(767,880) = 674960 / 1

LCM(767,880) = 674960


Lets's calculate GCF of 734,358

2 734, 358
367, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674960/2

Therefore the LCM of Fractions 767/734,880/358 is 337480

Greatest Common Factor of 734,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,358 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 734,358 . The biggest common factor number is the GCF number.
So the greatest common factor 734,358 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 767/734, 880/358

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 767/734, 880/358?

Answer: LCM of Numerators as per given numbers 767/734, 880/358 is

LCM of Numerators i.e. for 767,880 is 674960

GCF of denominators i.e. for 734,358 is 2.

Thus, LCM of Fractions is 337480.Finally, LCM of Fractions for 767/734, 880/358 is 337480.