Least Common Multiple of 95/617, 142/306, 200/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/617, 142/306, 200/778 quickly i.e. 269800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/617, 142/306, 200/778 is 269800.

LCM(95/617, 142/306, 200/778) = 269800

LCM of 95/617, 142/306, 200/778

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 95/617,142/306,200/778

Given numbers are 95/617,142/306,200/778

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 95,142,200

Least Common Multiple of Numerators i.e. LCM of 95,142,200 is 269800.

GCF of Denominators means GCF of 617,306,778 as per the given fractions.

GCF of 617,306,778 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,142,200

LCM of Fractions 95/617,142/306,200/778 is 269800

2 95, 142, 200
5 95, 71, 100
19, 71, 20

∴ So the LCM of the given numbers is 2 x 5 x 19 x 71 x 20 = 269800

Least Common Multiple of 95,142,200 with GCF Formula

Least Common Multiple of 95,142,200 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 95,142,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,142,200) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(95,142,200) x common factors =1 x 10 = 10

LCM(95,142,200) = ( 95 × 142 × 200 ) / 10

LCM(95,142,200) = 2698000 / 10

LCM(95,142,200) = 269800


Lets's calculate GCF of 617,306,778

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269800/1

Therefore the LCM of Fractions 95/617,142/306,200/778 is 269800

Greatest Common Factor of 617,306,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,306,778 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 617,306,778 . The biggest common factor number is the GCF number.
So the greatest common factor 617,306,778 is 1.


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 95/617, 142/306, 200/778

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 95/617, 142/306, 200/778?

Answer: LCM of Numerators as per given numbers 95/617, 142/306, 200/778 is

LCM of Numerators i.e. for 95,142,200 is 269800

GCF of denominators i.e. for 617,306,778 is 1.

Thus, LCM of Fractions is 269800.Finally, LCM of Fractions for 95/617, 142/306, 200/778 is 269800.