Least Common Multiple of 748/350, 6080/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/350, 6080/385 quickly i.e. 1136960/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/350, 6080/385 is 1136960/35.

LCM(748/350, 6080/385) = 1136960/35

LCM of 748/350, 6080/385

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 748/350,6080/385

Given numbers are 748/350,6080/385

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 748,6080

Least Common Multiple of Numerators i.e. LCM of 748,6080 is 1136960.

GCF of Denominators means GCF of 350,385 as per the given fractions.

GCF of 350,385 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,6080

LCM of Fractions 748/350,6080/385 is 1136960/35

2 748, 6080
2 374, 3040
187, 1520

∴ So the LCM of the given numbers is 2 x 2 x 187 x 1520 = 1136960

Least Common Multiple of 748,6080 with GCF Formula

Least Common Multiple of 748,6080 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 748,6080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,6080) = 4

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

GCF(748,6080) x common factors =4 x 1 = 4

LCM(748,6080) = ( 748 × 6080 ) / 4

LCM(748,6080) = 4547840 / 4

LCM(748,6080) = 1136960


Lets's calculate GCF of 350,385

5 350, 385
7 70, 77
10, 11

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1136960/35

Therefore the LCM of Fractions 748/350,6080/385 is 1136960/35

Greatest Common Factor of 350,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,385 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 350,385 . The biggest common factor number is the GCF number.
So the greatest common factor 350,385 is 35.


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 748/350, 6080/385

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 748/350, 6080/385?

Answer: LCM of Numerators as per given numbers 748/350, 6080/385 is

LCM of Numerators i.e. for 748,6080 is 1136960

GCF of denominators i.e. for 350,385 is 35.

Thus, LCM of Fractions is 1136960/35.Finally, LCM of Fractions for 748/350, 6080/385 is 1136960/35.