Least Common Multiple of 61/245, 78/385, 925/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/245, 78/385, 925/511 quickly i.e. 4401150/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/245, 78/385, 925/511 is 4401150/7.

LCM(61/245, 78/385, 925/511) = 4401150/7

LCM of 61/245, 78/385, 925/511

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 61/245,78/385,925/511

Given numbers are 61/245,78/385,925/511

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 61,78,925

Least Common Multiple of Numerators i.e. LCM of 61,78,925 is 4401150.

GCF of Denominators means GCF of 245,385,511 as per the given fractions.

GCF of 245,385,511 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,78,925

LCM of Fractions 61/245,78/385,925/511 is 4401150/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 4401150

Least Common Multiple of 61,78,925 with GCF Formula

Least Common Multiple of 61,78,925 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 61,78,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,78,925) = 1

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

GCF(61,78,925) x common factors =1 x 1 = 1

LCM(61,78,925) = ( 61 × 78 × 925 ) / 1

LCM(61,78,925) = 4401150 / 1

LCM(61,78,925) = 4401150


Lets's calculate GCF of 245,385,511

7 245, 385, 511
35, 55, 73

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4401150/7

Therefore the LCM of Fractions 61/245,78/385,925/511 is 4401150/7

Greatest Common Factor of 245,385,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,385,511 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 385

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

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

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 245,385,511 . The biggest common factor number is the GCF number.
So the greatest common factor 245,385,511 is 7.


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 61/245, 78/385, 925/511

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 61/245, 78/385, 925/511?

Answer: LCM of Numerators as per given numbers 61/245, 78/385, 925/511 is

LCM of Numerators i.e. for 61,78,925 is 4401150

GCF of denominators i.e. for 245,385,511 is 7.

Thus, LCM of Fractions is 4401150/7.Finally, LCM of Fractions for 61/245, 78/385, 925/511 is 4401150/7.